Panayotis G. Kevrekidis

Panayotis G. Kevrekidis's AcademicInfluence.com Rankings

Physics

#3443

World Rank

#4892

Historical Rank

physics Degrees

Panayotis G. Kevrekidis

Mathematics

#3599

World Rank

#5287

Historical Rank

Measure Theory

#759

World Rank

#1017

Historical Rank

mathematics Degrees

Download Badge

Physics
Mathematics

Why Is Panayotis G. Kevrekidis Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Panayotis G. Kevrekidis is a professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. Kevrekidis earned his B.Sc. in physics in 1996 from the University of Athens. He obtained his M.S. in 1998 and Ph.D. in 2000 from Rutgers University, the latter under the joint supervision of Joel Lebowitz and Panos G. Georgopoulos. His thesis was entitled “Lattice Dynamics of Solitary Wave Excitations”. He then assumed a post-doctoral position split between the Program in Applied and Computational Mathematics of Princeton University and the Theoretical Division and the Center for Nonlinear Studies of Los Alamos National Laboratory . From 09/2001, he joined the Department of Mathematics and Statistics of the University of Massachusetts Amherst as an assistant professor. He was awarded tenure and promotion to associate professor in 06/2005. As of 09/2010, he is a full professor at the same institution. He is presently the Stanislaw M. Ulam Scholar at the Center for Nonlinear Studies at Los Alamos National Laboratory.

(See a Problem?)

Panayotis G. Kevrekidis's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Emergent Nonlinear Phenomena in Bose-Einstein Condensates (2008) (354)
Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment (2008) (321)
THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION: A SURVEY OF RECENT RESULTS (2001) (319)
The Discrete Nonlinear Schrödinger Equation (2009) (315)
The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives (2009) (265)
Dynamical superfluid-insulator transition in a chain of weakly coupled bose-Einstein condensates. (2002) (213)
Discrete breathers in one-dimensional diatomic granular crystals. (2009) (206)
Discrete vortex solitons. (2001) (203)
Feshbach resonance management for Bose-Einstein condensates. (2003) (196)
Experimental observation of oscillating and interacting matter wave dark solitons. (2008) (189)
Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems (2004) (177)
Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential. (2002) (167)
The Defocusing Nonlinear Schrödinger Equation - From Dark Solitons to Vortices and Vortex Rings (2015) (151)
PATTERN FORMING DYNAMICAL INSTABILITIES OF BOSE–EINSTEIN CONDENSATES (2004) (150)
Granular acoustic switches and logic elements (2014) (147)
Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques (2008) (143)
Ring dark solitons and vortex necklaces in Bose-Einstein condensates. (2003) (142)
Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates. (2012) (142)
Dissipative solitary waves in granular crystals. (2008) (138)
Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions (2012) (137)
Nonequilibrium dynamics and superfluid ring excitations in binary Bose-Einstein condensates. (2007) (136)
Stability of discrete solitons in nonlinear Schrödinger lattices (2005) (130)
Solitons in coupled nonlinear Schrödinger models: A survey of recent developments (2016) (126)
Highly Nonlinear Solitary Waves in Heterogeneous Periodic Granular Media (2007) (120)
Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices. (2006) (118)
Equation-Free Multiscale Computation: enabling microscopic simulators to perform system-level tasks (2002) (116)
Characteristics of two-dimensional quantum turbulence in a compressible superfluid. (2012) (115)
Bright-dark soliton complexes in spinor Bose-Einstein condensates (2007) (109)
PT-symmetric oligomers: analytical solutions, linear stability, and nonlinear dynamics. (2011) (108)
Highly nonlinear solitary waves in periodic dimer granular chains. (2007) (107)
The sine-Gordon Model and its Applications (2014) (106)
Matter-wave solitons of collisionally inhomogeneous condensates (2005) (103)
Granular crystals: Nonlinear dynamics meets materials engineering (2015) (101)
Spontaneous symmetry breaking in photonic lattices: Theory and experiment (2004) (100)
Tunable Vibrational Band Gaps in One-Dimensional Diatomic Granular Crystals with Three-Particle Unit Cells (2010) (99)
Necklacelike solitons in optically induced photonic lattices. (2005) (95)
Guiding-center dynamics of vortex dipoles in Bose-Einstein condensates (2011) (92)
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices (2005) (92)
Origami-based impact mitigation via rarefaction solitary wave creation (2018) (91)
Localized breathing modes in granular crystals with defects. (2009) (89)
Nonlinearity management in optics: experiment, theory, and simulation. (2006) (88)
Bose-Einstein condensation: Twenty years after (2015) (88)
Radiationless traveling waves in saturable nonlinear Schrödinger lattices. (2006) (88)
Dynamic rheology of agar gels: theory and experiments. Part I. Development of a rheological model (2002) (86)
Non-linear waves in lattices: past, present, future (2011) (85)
The sine-Gordon model and its applications : from pendula and Josephson junctions to gravity and high-energy physics (2014) (82)
Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates (2009) (82)
Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme (2002) (82)
Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations (2004) (81)
Nonlinear coherent structures in granular crystals (2016) (80)
Continuum approach to discreteness. (2002) (80)
Highly nonlinear wave propagation in elastic woodpile periodic structures. (2014) (80)
Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross-Pitaevskii Equations (2007) (77)
Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions (2009) (76)
Stable vortex-bright-soliton structures in two-component Bose-Einstein condensates. (2010) (76)
Symmetry-Breaking Bifurcation in the Nonlinear Schrödinger Equation with Symmetric Potentials (2010) (76)
Averaging for solitons with nonlinearity management. (2003) (75)
Families of matter-waves in two-component Bose-Einstein condensates (2003) (74)
Intrinsic energy localization through discrete gap breathers in one-dimensional diatomic granular crystals. (2010) (74)
Dynamics of a few corotating vortices in Bose-Einstein condensates. (2013) (73)
Kink-Kink and Kink-Antikink Interactions with Long-Range Tails. (2018) (71)
On the modulational stability of Gross-Pittaevskii type equations in 1+1 dimensions (2003) (71)
Breathers in oscillator chains with Hertzian interactions (2011) (71)
Soliton collisions in the discrete nonlinear Schrödinger equation. (2003) (70)
Dynamics of vortex dipoles in confined BoseEinstein condensates (2011) (68)
Vortices in Bose-Einstein Condensates: Some Recent Developments (2004) (68)
Multiple dark-bright solitons in atomic Bose-Einstein condensates (2011) (67)
Solitons in triangular and honeycomb dynamical lattices with the cubic nonlinearity. (2002) (67)
Symmetry breaking in symmetric and asymmetric double-well potentials. (2006) (66)
Dynamics of dark–bright solitons in cigar-shaped Bose–Einstein condensates (2010) (64)
Discrete breathers in a forced-damped array of coupled pendula: modeling, computation, and experiment. (2009) (64)
Rogue waves in nonlinear Schrödinger models with variable coefficients: Application to Bose–Einstein condensates (2013) (63)
Higher-order effects and ultrashort solitons in left-handed metamaterials. (2009) (63)
Correlation effects in the quench-induced phase separation dynamics of a two species ultracold quantum gas (2017) (63)
Long-range interactions of kinks (2018) (62)
Three-Component Soliton States in Spinor F=1 Bose-Einstein Condensates. (2017) (59)
Demonstrating an In Situ Topological Band Transition in Cylindrical Granular Chains. (2017) (57)
Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice (2003) (56)
Stable higher-order vortices and quasivortices in the discrete nonlinear Schrödinger equation. (2004) (55)
Rabi flopping induces spatial demixing dynamics. (2011) (55)
Multistable Solitons in Higher-Dimensional Cubic-Quintic Nonlinear Schrödinger Lattices (2008) (55)
Formation of rarefaction waves in origami-based metamaterials. (2015) (54)
Observation of double-charge discrete vortex solitons in hexagonal photonic lattices (2009) (54)
Beating dark–dark solitons in Bose–Einstein condensates (2012) (54)
Linearly coupled Bose-Einstein condensates: From Rabi oscillations and quasiperiodic solutions to oscillating domain walls and spiral waves (2004) (54)
On a class of discretizations of Hamiltonian nonlinear partial differential equations (2003) (53)
Phase separation and dynamics of two-component Bose-Einstein condensates (2009) (52)
Interactions of solitons with a Gaussian barrier: splitting and recombination in quasi-one-dimensional and three-dimensional settings (2013) (52)
Nonlinear waves in disordered diatomic granular chains. (2009) (50)
Travelling solitary waves in the discrete Schrodinger equation with saturable nonlinearity: Existence, stability and dynamics (2008) (50)
Stability of multiple pulses in discrete systems. (2001) (50)
On the Existence of Solitary Traveling Waves for Generalized Hertzian Chains (2011) (50)
Dynamics of lattice kinks (2000) (49)
Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells (2006) (49)
Bifurcations, stability, and dynamics of multiple matter-wave vortex states (2010) (48)
Backward-wave propagation and discrete solitons in a left-handed electrical lattice (2011) (47)
Matter-wave dark solitons: stochastic versus analytical results. (2009) (47)
Symmetry breaking in linearly coupled dynamical lattices. (2007) (47)
Three-dimensional solitary waves and vortices in a discrete nonlinear Schrödinger lattice. (2004) (47)
On the stability of multibreathers in Klein–Gordon chains (2009) (46)
Twisted localized modes. (2001) (46)
Damped-driven granular chains: an ideal playground for dark breathers and multibreathers. (2013) (46)
Kink dynamics in a parametric ϕ6 system: a model with controllably many internal modes (2017) (45)
Traveling waves in 2D hexagonal granular crystal lattices (2013) (45)
Faraday waves in Bose-Einstein condensates (2007) (44)
Nonlinear dynamics in PT-symmetric lattices (2013) (44)
Dark–bright soliton dynamics beyond the mean-field approximation (2016) (44)
Asymmetric wave propagation through nonlinear PT-symmetric oligomers (2012) (44)
Dynamic rheology of agar gels: theory and experiments. Part II: gelation behavior of agar sols and fitting of a theoretical rheological model (2002) (43)
Modulated amplitude waves in collisionally inhomogeneous Bose–Einstein condensates (2006) (43)
Matter-wave dark solitons and their excitation spectra in spin-orbit coupled Bose-Einstein condensates (2013) (43)
Interactions and scattering of quantum vortices in a polariton fluid (2017) (42)
Dynamics of vortex formation in merging Bose-Einstein condensate fragments (2007) (42)
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories (2020) (41)
Stability of waves in discrete systems (2001) (41)
Parametric and modulational instabilities of the discrete nonlinear Schrödinger equation (2004) (41)
Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier (2010) (41)
Inelastic collisions of solitary waves in anisotropic Bose–Einstein condensates: sling-shot events and expanding collision bubbles (2013) (41)
Lagrangian approach to the dynamics of dark matter-wave solitons (6 pages) (2005) (40)
Hamiltonian averaging for solitons with nonlinearity management. (2004) (40)
Well-posedness and small data scattering for the generalized Ostrovsky equation ✩ (2010) (40)
Discrete Klein–Gordon models with static kinks free of the Peierls–Nabarro potential (2005) (40)
Dynamics of Shallow Dark Solitons in a Trapped Gas of Impenetrable Bosons (2004) (40)
Oscillations of dark solitons in trapped Bose-Einstein condensates. (2005) (39)
Localized Excitations in Nonlinear Complex Systems (2014) (39)
Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation (2009) (38)
On some classes of mKdV periodic solutions (2004) (38)
Matter-wave solitons with a periodic, piecewise-constant scattering length (2007) (38)
Nonlinear Stationary States in PT-Symmetric Lattices (2013) (38)
Discrete solitons in nonlinear Schrodinger lattices with a power-law nonlinearity (2009) (37)
Static and rotating domain-wall cross patterns in Bose-Einstein condensates (8 pages) (2004) (36)
Discrete vector solitons in two-dimensional nonlinear waveguide arrays: solutions, stability, and dynamics. (2003) (36)
Radially symmetric nonlinear states of harmonically trapped Bose-Einstein condensates (2007) (36)
Linear and nonlinear parity-time-symmetric oligomers: a dynamical systems analysis (2012) (35)
Traveling waves and their tails in locally resonant granular systems (2014) (35)
Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials (2009) (34)
Interaction of traveling waves with mass-with-mass defects within a Hertzian chain. (2012) (34)
Breather lattice and its stabilization for the modified Korteweg-de Vries equation. (2003) (34)
Generation of localized modes in an electrical lattice using subharmonic driving. (2012) (34)
Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model. (2015) (34)
Solitary waves under the competition of linear and nonlinear periodic potentials (2007) (33)
Modulational instability in a layered Kerr medium: theory and experiment. (2006) (33)
Bose-Einstein condensates in the presence of a magnetic trap and optical lattice. (2005) (33)
Wave propagation in a strongly nonlinear locally resonant granular crystal (2017) (33)
Dark solitons in discrete lattices: saturable versus cubic nonlinearities. (2006) (33)
Vector dark-antidark solitary waves in multicomponent Bose-Einstein condensates (2016) (33)
Three-dimensional nonlinear lattices: from oblique vortices and octupoles to discrete diamonds and vortex cubes. (2005) (32)
Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation (2016) (32)
Discrete surface solitons in two dimensions. (2006) (32)
Controlling the motion of dark solitons by means of periodic potentials: application to Bose-Einstein condensates in optical lattices. (2005) (32)
Two-dimensional paradigm for symmetry breaking: the nonlinear Schrödinger equation with a four-well potential. (2009) (32)
Dynamic generation of matter solitons from linear states via time-dependent scattering lengths (2005) (31)
Mobility of discrete solitons in quadratically nonlinear media. (2006) (31)
Nonlinear -symmetric plaquettes (2012) (31)
Nonlinear low-to-high-frequency energy cascades in diatomic granular crystals. (2015) (31)
Nonlinear localized modes in waveguide bends (2003) (31)
Dark solitons in external potentials (2006) (30)
Revisiting the PT?>-symmetric trimer: bifurcations, ghost states and associated dynamics (2013) (30)
Nonlinear lattice dynamics of Bose-Einstein condensates. (2004) (30)
Generalized neighbor-interaction models induced by nonlinear lattices. (2007) (30)
Rabi switch of condensate wave functions in a multicomponent Bose gas (2008) (30)
Bose–Einstein condensates in the presence of a magnetic trap and optical lattice: two-mode approximation (2005) (30)
Dynamical trapping and transmission of matter-wave solitons in a collisionally inhomogeneous environment (2005) (29)
Defect modes in one-dimensional granular crystals. (2011) (29)
Nonlinear localized modes in two-dimensional electrical lattices. (2013) (29)
Stability of topological edge states under strong nonlinear effects (2020) (29)
Scattering of atomic dark–bright solitons from narrow impurities (2012) (29)
Bright compact breathers. (2002) (29)
Nonlinearity from linearity: The Ermakov-Pinney equation revisited (2007) (29)
Bifurcation of internal solitary wave modes from the essential spectrum (2000) (29)
Traveling and stationary intrinsic localized modes and their spatial control in electrical lattices. (2010) (28)
$\mathcal{PT}$-symmetric dimer of coupled nonlinear oscillators (2013) (28)
Two-component nonlinear Schrodinger models with a double-well potential (2008) (28)
Compactons in nonlinear Schrödinger lattices with strong nonlinearity management. (2010) (28)
Two-soliton collisions in a near-integrable lattice system. (2003) (28)
Superdiffusive transport and energy localization in disordered granular crystals. (2014) (28)
Multibreathers in Klein–Gordon chains with interactions beyond nearest neighbors (2012) (27)
Discrete compactons: some exact results (2002) (27)
High Energy Density in Multisoliton Collisions (2015) (27)
Discrete breathers in a nonlinear electric line: modeling, computation, and experiment. (2011) (27)
The One-Dimensional Case (2009) (27)
Many-body dissipative flow of a confined scalar Bose-Einstein condensate driven by a Gaussian impurity (2018) (27)
Rotating matter waves in Bose-Einstein condensates (2007) (27)
Focusing revisited: a renormalization/bifurcation approach (2003) (27)
Exact static solutions for discrete phi4 models free of the Peierls-Nabarro barrier: discretized first-integral approach. (2006) (26)
Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources (2005) (26)
Breathers in a locally resonant granular chain with precompression (2016) (26)
High-order-mode soliton structures in two-dimensional lattices with defocusing nonlinearity. (2006) (26)
Many-body quantum dynamics in the decay of bent dark solitons of Bose–Einstein condensates (2017) (26)
Hysteresis loops and multi-stability: From periodic orbits to chaotic dynamics (and back) in diatomic granular crystals (2012) (26)
Wave propagation in square granular crystals with spherical interstitial intruders. (2012) (26)
Vortices in a Bose-Einstein condensate confined by an optical lattice (2003) (26)
Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation (2001) (26)
Excited states in the large density limit: a variational approach (2009) (26)
Variational approach to the modulational instability. (2004) (26)
Direct measurement of superdiffusive energy transport in disordered granular chains (2017) (26)
Dark-bright solitons in Bose–Einstein condensates at finite temperatures (2011) (25)
From solitons to rogue waves in nonlinear left-handed metamaterials. (2016) (25)
Wave transmission in time- and space-variant helicoidal phononic crystals. (2014) (25)
Dynamics and manipulation of matter-wave solitons in optical superlattices (2005) (25)
Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices (2005) (25)
Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and linear momentum (2005) (25)
Resonant and non-resonant modulated amplitude waves for binary Bose-Einstein condensates in optical lattices (2004) (25)
Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates (2007) (25)
Collisions of Three-Component Vector Solitons in Bose-Einstein Condensates. (2020) (25)
Nonlinearity management in higher dimensions (2005) (25)
Scattering and leapfrogging of vortex rings in a superfluid (2014) (25)
Dark-in-bright solitons in Bose-Einstein condensates with attractive interactions (2003) (25)
Equation-Free, Effective Computation for Discrete Systems: a Time stepper Based Approach (2005) (24)
Stability and dynamics of matter-wave vortices in the presence of collisional inhomogeneities and dissipative perturbations (2009) (24)
Exponentially small splitting of heteroclinc orbits: from the rapidly forced pendulum to discrete solitons (2000) (24)
Two-dimensional discrete solitons in rotating lattices. (2007) (24)
A hybrid model for tumor-induced angiogenesis in the cornea in the presence of inhibitors (2007) (24)
Head-on collisions of ring dark solitons (2001) (24)
Dark breathers in granular crystals. (2012) (24)
Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices (2006) (24)
Coupled backward- and forward-propagating solitons in a composite right- and left-handed transmission line. (2013) (23)
Avoiding infrared catastrophes in trapped Bose-Einstein condensates (2004) (23)
Dark matter-wave solitons in the dimensionality crossover (2007) (23)
Dissipative shock waves generated by a quantum-mechanical piston (2017) (23)
Exploring vortex dynamics in the presence of dissipation: Analytical and numerical results (2013) (23)
One- and two-dimensional solitons in second-harmonic-generating lattices. (2002) (23)
NONLINEAR PHENOMENA (2020) (23)
Discrete nonlinear Schrödinger equations free of the Peierls–Nabarro potential (2006) (23)
Azimuthal Modulational Instability of Vortices in the Nonlinear Schr (2008) (22)
Traveling Waves for the Mass in Mass Model of Granular Chains (2015) (22)
Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays (2011) (22)
Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity. (2007) (22)
Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate. (2013) (22)
Landau-Zener tunneling of Bose-Einstein condensates in an optical lattice (2004) (22)
Interaction of sine-Gordon kinks and breathers with a parity-time-symmetric defect. (2014) (22)
Strongly nonlinear waves in locally resonant granular chains (2016) (22)
Single and multiple vortex rings in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics (2017) (22)
Approximation of Solitons in the Discrete NLS Equation (2008) (22)
Parity-time-symmetric optical coupler with birefringent arms (2012) (22)
Traveling waves for monomer chains with precompression (2013) (22)
Coherent Structures in Granular Crystals: From Experiment and Modelling to Computation and Mathematical Analysis (2018) (22)
Dynamics of Dirac solitons in networks (2017) (22)
Solitary waves in the Nonlinear Dirac Equation (2017) (21)
Vortex interaction dynamics in trapped Bose-Einstein condensates (2011) (21)
Quasidiscrete microwave solitons in a split-ring-resonator-based left-handed coplanar waveguide. (2011) (21)
PT-symmetric Double Well Potentials Revisited: Bifurcations, Stability and Dynamics (2012) (21)
Impact of anisotropy on vortex clusters and their dynamics (2010) (21)
Bose-Einstein Condensates in Superlattices (2004) (21)
A tale of two distributions: from few to many vortices in quasi-two-dimensional Bose–Einstein condensates (2014) (21)
Being stable and discrete (2000) (21)
Exact stationary solutions for the translationally invariant discrete nonlinear Schrödinger equations (2007) (21)
Solitary wave interactions in dispersive equations using Manton's approach. (2004) (21)
Rogue Waves in Ultracold Bosonic Seas (2016) (21)
Motion of discrete solitons assisted by nonlinearity management. (2004) (21)
Dark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates (2005) (21)
Multibreather and Vortex Breather stability in Klein-Gordon Lattices: Equivalence between Two Different Approaches (2010) (21)
Linear stability of perturbed Hamiltonian systems: theory and a case example (2004) (20)
Vector solitons with an embedded domain wall. (2005) (20)
Stability of discrete dark solitons in nonlinear Schrödinger lattices (2008) (20)
When linear stability does not exclude nonlinear instability. (2014) (20)
Polarized states and domain walls in spinor Bose-Einstein condensates (2007) (20)
Radiationless energy exchange in three-soliton collisions. (2008) (20)
Self-trapping of optical vortices in waveguide lattices with a self-defocusing nonlinearity. (2008) (20)
Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves. (2017) (20)
Modulational instability in nonlinearity-managed optical media (2006) (20)
Dynamics of three noncorotating vortices in Bose-Einstein condensates. (2013) (20)
Instabilities and bifurcations of nonlinear impurity modes. (2003) (20)
Erratum: Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice [Phys. Rev. A 68, 035602 (2003)] (2005) (20)
Nucleation of breathers via stochastic resonance in nonlinear lattices. (2009) (20)
Cerenkov-like radiation in a binary Schr{\"o}dinger flow past an obstacle (2007) (20)
Kink scattering from a parity-time-symmetric defect in the ϕ4 model (2014) (20)
Discrete solitons and vortices on anisotropic lattices. (2005) (20)
Effect of the ϕ4 kink’s internal mode at scattering on a PT-symmetric defect (2015) (20)
Targeted transfer of solitons in continua and lattices. (2002) (20)
Asymptotic reductions of two coupled (2 + 1)-dimensional nonlinear Schrödinger equations: application to Bose–Einstein condensates (2006) (20)
Vortex structures formed by the interference of sliced condensates (2006) (19)
Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings (2011) (19)
Energy Criterion for the Spectral Stability of Discrete Breathers. (2016) (19)
Unifying perspective: Solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability. (2017) (19)
Localized structures in kagome lattices (2009) (19)
Higher-order lattice diffraction: solitons in the discrete NLS equation with next-nearest-neighbor interactions (2003) (19)
Emergence and stability of vortex clusters in Bose–Einstein condensates: A bifurcation approach near the linear limit (2010) (19)
Wave patterns generated by a supersonic moving body in a binary Bose-Einstein condensate (2008) (19)
Classical nucleation theory revisited. (2003) (19)
Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D (2011) (18)
Minimal model for tumor angiogenesis. (2006) (18)
Rich example of geometrically induced nonlinearity: from rotobreathers and kinks to moving localized modes and resonant energy transfer. (2004) (18)
Observation of dipole-like gap solitons in self-defocusing waveguide lattices. (2007) (18)
Comparative study of different discretizations of the phi(4) model. (2006) (18)
Vortex-Bright Soliton Dipoles: Bifurcations, Symmetry Breaking and Soliton Tunneling in a Vortex-Induced Double Well (2012) (18)
Quasiperiodic granular chains and Hofstadter butterflies (2018) (18)
SO(2)-induced breathing patterns in multi-component Bose-Einstein condensates (2016) (18)
The Two-Dimensional Case (2009) (18)
Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems (2002) (18)
A quantitative framework for exploring exit strategies from the COVID-19 lockdown (2020) (18)
Variational method for nonconservative field theories: Formulation and two PT-symmetric case examples (2014) (18)
Statics and dynamics of atomic dark-bright solitons in the presence of impurities (2011) (18)
Stable higher-charge discrete vortices in hexagonal optical lattices (2008) (18)
Adiabatic Invariant Approach to Transverse Instability: Landau Dynamics of Soliton Filaments. (2017) (18)
Asymptotic expansions and solitons of the Camassa–Holm – nonlinear Schrödinger equation (2017) (17)
Manipulation of vortices by localized impurities in Bose-Einstein condensates (2009) (17)
Discrete vector on-site vortices (2005) (17)
Nonlinear phenomena in degenerate quantum gases (2009) (17)
PT-symmetric coupler with χ (2) nonlinearity (2013) (17)
LETTER TO THE EDITOR: On (2 + 1)-dimensional Friedmann Robertson Walker universes: an Ermakov Pinney equation approach (2003) (17)
Interaction between sine-Gordon breathers. (2001) (17)
Phase diagram, stability and magnetic properties of nonlinear excitations in spinor Bose–Einstein condensates (2020) (17)
Robust vortex lines, vortex rings, and hopfions in three-dimensional Bose-Einstein condensates (2015) (17)
Time-periodic solutions of driven-damped trimer granular crystals (2014) (17)
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation (2019) (17)
Exact static solutions to a translationally invariant discrete ϕ4 model (2007) (17)
Modulational Instability in Bose–Einstein Condensates under Feshbach Resonance Management (2004) (17)
Stability of discrete solitons in the presence of parametric driving. (2006) (17)
Interplay between parity-time symmetry, supersymmetry, and nonlinearity: An analytically tractable case example. (2015) (17)
Trapped bright matter-wave solitons in the presence of localized inhomogeneities (2005) (17)
Nonlinear dressed states at the miscibility-immiscibility threshold (2014) (17)
Discrete solitons and vortices in hexagonal and honeycomb lattices: existence, stability, and dynamics. (2008) (17)
Characterizing traveling-wave collisions in granular chains starting from integrable limits: the case of the Korteweg-de Vries equation and the Toda lattice. (2014) (16)
Nonlinear excitations in magnetic lattices with long-range interactions (2018) (16)
Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico (2020) (16)
Scattering of waves by impurities in precompressed granular chains. (2016) (16)
Fluctuating and dissipative dynamics of dark solitons in quasicondensates (2011) (16)
Guidance of matter waves through Y-junctions (2003) (16)
Integrability revisited: a necessary condition (2001) (16)
High-speed kinks in a generalized discrete phi4 model. (2008) (16)
From Feshbach-resonance managed Bose–Einstein condensates to anisotropic universes: Applications of the Ermakov–Pinney equation with time-dependent nonlinearity (2007) (16)
-symmetric lattices with spatially extended gain/loss are generically unstable (2012) (16)
Effects of parity-time symmetry in nonlinear Klein-Gordon models and their stationary kinks. (2013) (15)
Generating and Manipulating Quantized Vortices On-Demand in a Bose-Einstein Condensate: a Numerical Study (2015) (15)
Non-nearest-neighbor interactions in nonlinear dynamical lattices (2009) (15)
Asymptotic stability of small solitons in the discrete nonlinear Schrodinger equation in one dimension (2008) (15)
Escape Dynamics in the Discrete Repulsive Model (2012) (15)
Dark spherical shell solitons in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics (2016) (15)
Stability and tunneling dynamics of a dark-bright soliton pair in a harmonic trap (2014) (15)
Spectral and dynamical analysis of a single vortex ring in anisotropic harmonically trapped three-dimensional Bose-Einstein condensates (2018) (15)
Dynamics of Phase Transitions in a Piecewise Linear Diatomic Chain (2012) (15)
Surface solitons in three dimensions. (2008) (15)
Beating Dark-Dark Solitons and Zitterbewegung in Spin-Orbit Coupled Bose-Einstein Condensates (2014) (15)
Bohr-Sommerfeld quantization condition for the Gross-Pitaevskii equation. (2003) (15)
Light dynamics in nonlinear trimers and twisted multicore fibers (2016) (14)
Reaction-diffusion spatial modeling of COVID-19: Greece and Andalusia as case examples. (2020) (14)
On the Spectral Stability of Kinks in Some PT ‐Symmetric Variants of the Classical Klein–Gordon Field Theories (2014) (14)
From nodeless clouds and vortices to gray ring solitons and symmetry-broken states in two-dimensional polariton condensates (2014) (14)
Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation (2009) (14)
Staggered parity-time-symmetric ladders with cubic nonlinearity. (2014) (14)
Emergence of dispersive shocks and rarefaction waves in power-law contact models. (2017) (14)
Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials. (2010) (14)
Dark-bright solitons in coupled nonlinear Schrödinger equations with unequal dispersion coefficients. (2014) (14)
Propagation failure, universal scalings and Goldstone modes (2001) (14)
On a class of spatial discretizations of equations of the nonlinear Schrödinger type (2006) (14)
Instability dynamics and breather formation in a horizontally shaken pendulum chain. (2014) (14)
Nonequivalence of phonon modes in the sine-Gordon equation. (2001) (14)
Dark-Bright Solitons and their Lattices in Atomic Bose-Einstein Condensates (2014) (13)
Breather statics and dynamics in Klein-Gordon chains with a bend. (2003) (13)
An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices (2017) (13)
Four Decades of Kink Interactions in Nonlinear Klein-Gordon Models: A Crucial Typo, Recent Developments and the Challenges Ahead (2019) (13)
Demonstration of Dispersive Rarefaction Shocks in Hollow Elliptical Cylinder Chains. (2017) (13)
Periodic oscillations of dark solitons in parabolic potentials (2007) (13)
Domain walls in two-component dynamical lattices. (2003) (13)
Transitions from order to disorder in multiple dark and multiple dark-bright soliton atomic clouds. (2014) (13)
Multifrequency and Edge Breathers in the Discrete sine-Gordon System via Subharmonic Driving: Theory, Computation and Experiment (2015) (13)
Variational approximations of trapped vortices in the large-density limit (2011) (13)
Spinor Bose-Einstein condensate flow past an obstacle (2008) (13)
Soliton trains and vortex streets as a form of Cerenkov radiation in trapped Bose-Einstein condensates (2007) (13)
Dark-bright soliton interactions beyond the integrable limit (2016) (13)
Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach (2018) (13)
Dynamical playground of a higher-order cubic Ginzburg-Landau equation: From orbital connections and limit cycles to invariant tori and the onset of chaos. (2015) (13)
Compactons in discrete nonlinear Klein-Gordon models (2003) (13)
Easing COVID-19 lockdown measures while protecting the older restricts the deaths to the level of the full lockdown (2020) (13)
Discrete breathers at the interface between a diatomic and a monoatomic granular chain. (2010) (13)
X , Y , and Z waves: extended structures in nonlinear lattices. (2006) (12)
Geometric stabilization of extended S=2 vortices in two-dimensional photonic lattices : theoretical analysis, numerical computation, and experimental results (2009) (12)
Experimental and numerical observation of dark and bright breathers in the band gap of a diatomic electrical lattice. (2018) (12)
Quasi-energies, parametric resonances, and stability limits in ac-driven PT-symmetric systems. (2013) (12)
Dark–bright ring solitons in Bose–Einstein condensates (2011) (12)
Vector rogue waves and dark-bright boomeronic solitons in autonomous and nonautonomous settings. (2014) (12)
Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping (2011) (12)
Quasistable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates (2019) (12)
Nonlinear localized modes in two-dimensional hexagonally-packed magnetic lattices (2020) (12)
Domain walls of single-component Bose-Einstein condensates in external potentials (2004) (12)
Dipole and quadrupole solitons in optically-induced two-dimensional defocusing photonic lattices (2008) (12)
Statics and dynamics of an inhomogeneously nonlinear lattice. (2006) (12)
Two-dimensional rogue waves on zero background in a Benney-Roskes model (2020) (12)
Traveling Wave Solutions in a Chain of Periodically Forced Coupled Nonlinear Oscillators (2015) (12)
Two-component dark-bright solitons in three-dimensional atomic Bose-Einstein condensates. (2016) (11)
Nonlinear excitations, stability inversions, and dissipative dynamics in quasi-one-dimensional polariton condensates (2011) (11)
Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices. (2015) (11)
On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators (2016) (11)
Vortex solutions of the discrete Gross-Pitaevskii equation (2008) (11)
Stabilization of the Peregrine soliton and Kuznetsov–Ma breathers by means of nonlinearity and dispersion management (2017) (11)
Exploring rigidly rotating vortex configurations and their bifurcations in atomic Bose-Einstein condensates. (2013) (11)
Modulational instabilities and domain walls in coupled discrete nonlinear Schrödinger equations (2004) (11)
Comparison of one-dimensional and two-dimensional discrete breathers (2001) (11)
Discrete breathers in a mass-in-mass chain with Hertzian local resonators. (2016) (11)
Solitary Waves of a $\mathcal {P}$ $\mathcal {T}$ -Symmetric Nonlinear Dirac Equation (2015) (11)
Observation and analysis of multiple dark-antidark solitons in two-component Bose-Einstein condensates (2020) (11)
Effects of competing short- and long-range dispersive interactions on discrete breathers. (2001) (11)
Dark-bright soliton pairs: Bifurcations and collisions (2018) (11)
Existence and stability of multisite breathers in honeycomb and hexagonal lattices (2009) (11)
Solitons and vortices in honeycomb defocusing photonic lattices (2008) (11)
Solitary waves in a discrete nonlinear Dirac equation (2014) (11)
Bright breathers in nonlinear left-handed metamaterial lattices (2017) (11)
On some single-hump solutions of the short-pulse equation and their periodic generalizations (2010) (11)
Existence of bound states of a polaron with a breather in soft potentials (2006) (11)
Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients. (2015) (11)
Bifurcation and stability of single and multiple vortex rings in three-dimensional Bose-Einstein condensates (2015) (11)
Nonlinear Instabilities of Multi‐Site Breathers in Klein–Gordon Lattices (2015) (11)
Collision of ϕ4 kinks free of the Peierls–Nabarro barrier in the regime of strong discreteness (2019) (11)
Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems (2019) (11)
Mean-field analog of the Hong-Ou-Mandel experiment with bright solitons (2014) (11)
Breathers in periodic granular chains with multiple band gaps. (2011) (11)
Quench induced vortex-bright-soliton formation in binary Bose–Einstein condensates (2019) (11)
Ring-shaped solitons in a “dartboard” photonic lattice (2005) (11)
Conservation laws, exact traveling waves and modulation instability for an extended nonlinear Schrödinger equation (2013) (11)
Dark solitons in cigar-shaped Bose-Einstein condensates in double-well potentials (2010) (11)
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice (2017) (10)
Wave mixing in coupled phononic crystals via a variable stiffness mechanism (2016) (10)
Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates (2014) (10)
Sine-Gordon Equation: From Discrete to Continuum (2014) (10)
Dark-Bright Discrete Solitons: A Numerical Study of Existence, Stability and Dynamics (2010) (10)
Matter-wave solitons of collisionally inhomogeneous condensates (9 pages) (2005) (10)
Stabilization of ring dark solitons in Bose-Einstein condensates (2015) (10)
Solitary waves in the resonant nonlinear Schrödinger equation: Stability and dynamical properties (2020) (10)
Superfluid flow past an obstacle in annular Bose–Einstein condensates (2015) (10)
Generation of dark solitons in oscillating Bose-Einstein condensates [rapid communication] (2005) (10)
The higher-dimensional Ablowitz–Ladik model: From (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions (2009) (10)
Kuznetsov–Ma breather-like solutions in the Salerno model (2020) (10)
PT-symmetry management in oligomer systems (2013) (10)
Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates (2017) (10)
Generalized dimers and their Stokes-variable dynamics (2014) (10)
Positive and negative mass solitons in spin-orbit coupled Bose-Einstein condensates (2015) (10)
Statistical mechanics of a nonlinear discrete system (1999) (10)
Stationary states of a nonlinear Schrödinger lattice with a harmonic trap (2011) (9)
Distribution of eigenfrequencies for oscillations of the ground state in the Thomas-Fermi limit (2009) (9)
Localized vortices with a semi-integer charge in nonlinear dynamical lattices. (2001) (9)
Dynamic and energetic stabilization of persistent currents in Bose-Einstein condensates (2014) (9)
Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice (2008) (9)
Matter-wave solitons in the counterflow of two immiscible superfluids (2013) (9)
Soliton internal mode bifurcations: pure power law? (2001) (9)
Nonlinear Modes and Symmetries in Linearly Coupled Pairs of PT ‐Invariant Dimers (2013) (9)
Dragging bistable fronts (2004) (9)
Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates (2020) (9)
Discrete gap solitons in a diffraction-managed waveguide array (2003) (9)
Experimental Study of Nonlinear Resonances and Anti-Resonances in a Forced, Ordered Granular Chain (2016) (9)
Effects of time-periodic linear coupling on two-component Bose-Einstein condensates in two dimensions (2008) (9)
Nonlinear resonances and antiresonances of a forced sonic vacuum. (2015) (9)
Dark lattice solitons in one-dimensional waveguide arrays with defocusing saturable nonlinearity and alternating couplings (2012) (9)
Ring solitons on vortices. (2001) (9)
Peregrine solitons and gradient catastrophes in discrete nonlinear Schrödinger systems (2018) (9)
Evaluating the robustness of rogue waves under perturbations (2017) (9)
Nonlinear Waves in Lattices: Past, Present, Future (2010) (9)
Controlled generation of dark-bright soliton complexes in two-component and spinor Bose-Einstein condensates (2019) (9)
Dynamical barrier for the formation of solitary waves in discrete lattices (vol 372, pg 2247, 2008) (2007) (9)
Solitons and vortices in two-dimensional discrete nonlinear Schrödinger systems with spatially modulated nonlinearity. (2014) (9)
Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study (2010) (9)
Disk-shaped Bose-Einstein condensates in the presence of an harmonic trap and an optical lattice. (2008) (8)
Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation (2018) (8)
On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation (2004) (8)
On a discrete version of the Korteweg-De Vries equation (2005) (8)
Basic Mean-Field Theory for Bose-Einstein Condensates (2008) (8)
Generating functions, polynomials and vortices with alternating signs in Bose–Einstein condensates (2014) (8)
To infinity and some glimpses of beyond (2017) (8)
Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum (2017) (8)
Resonant localized modes in electrical lattices with second-neighbor coupling (2018) (8)
A unified kinetic approach to binary nucleation (1999) (8)
A Parrinello-Rahman approach to vortex lattices (2005) (8)
Solitary waves in discrete media with four-wave mixing. (2005) (8)
Highly Nonlinear Solitary Waves in Phononic Crystal Dimers (2007) (8)
Collisional-inhomogeneity-induced generation of matter-wave dark solitons (2010) (8)
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz-Ladik model (2021) (8)
Collisionally inhomogeneous Bose-Einstein condensates in double-well potentials (2008) (8)
Towards a reduced model for angiogenesis: A hybrid approach (2005) (8)
Stability of localized structures in generalized DNLS equations near the anti-continuum limit (2009) (8)
Vortex Nucleation in a Dissipative Variant of the Nonlinear Schr\"odinger Equation under Rotation (2014) (8)
Parametric Quantum Resonances for Bose–Einstein Condensates (2000) (8)
Transfer and scattering of wave packets by a nonlinear trap. (2011) (8)
Nonlinear vibrational-state excitation and piezoelectric energy conversion in harmonically driven granular chains. (2016) (8)
Pulled fronts in the Cahn–Hilliard equation (2002) (8)
Ultrashort pulses and short-pulse equations in 2+1 dimensions (2012) (8)
Ring dark solitons in three-dimensional Bose-Einstein condensates (2019) (8)
Kink–antikink interaction forces and bound states in a biharmonic ϕ4 model (2020) (8)
Discrete vector solitons in one-dimensional lattices in photorefractive media. (2006) (8)
Self-trapping of optical vortices at the surface of an induced semi-infinite photonic lattice. (2010) (8)
Resonant interaction of ϕ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient (2018) (8)
Localization in physical systems described by discrete nonlinear Schrodinger-type equations. (2003) (8)
Stability and Dynamics of Dark-Bright Soliton Bound States Away from the Integrable Limit (2017) (7)
Justification of Leading Order Quasicontinuum Approximations of Strongly Nonlinear Lattices (2013) (7)
Modulational instability and its suppression for Bose–Einstein condensates under magnetic and optical lattice trapping (2006) (7)
Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates (2018) (7)
Resonant interaction of $\phi^4$ kink with spatially periodic $\mathcal{PT}$-symmetric perturbation (2016) (7)
Heterogeneous versus discrete mapping problem. (2001) (7)
Dark Solitons Near Potential and Nonlinearity Steps (2015) (7)
Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose-Einstein condensates (2017) (7)
Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving (2018) (7)
$\mathcal{P}\mathcal{T}$-symmetric sine-Gordon breathers (2014) (7)
On-demand generation of dark soliton trains in Bose-Einstein condensates (2020) (7)
Localization of nonlinear excitations in curved waveguides (2004) (7)
Ground-state properties of attractive bosons in mesoscopic 1D ring lattices (2006) (7)
Stable structures with high topological charge in nonlinear photonic quasicrystals (2010) (7)
Eigenstates and instabilities of chains with embedded defects. (2012) (7)
The stability of the b-family of peakon equations (2020) (7)
Directed ratchet transport in granular chains. (2013) (7)
Nonlinear PT-symmetric models bearing exact solutions (2013) (7)
Anisotropic diffusion and traveling waves of toxic proteins in neurodegenerative diseases (2020) (7)
Planar and radial kinks in nonlinear Klein-Gordon models: Existence, stability, and dynamics (2018) (6)
Spinor Bose–Einstein condensates in double-well potentials (2008) (6)
Bifurcations of Asymmetric Vortices in Symmetric Harmonic Traps (2012) (6)
Effective equations for discrete systems: A time stepper based approach (2003) (6)
Interlaced solitons and vortices in coupled DNLS lattices (2008) (6)
Non-conservative variational approximation for nonlinear Schrödinger equations (2015) (6)
On the generation and propagation of solitary waves in integrable and nonintegrable nonlinear lattices (2020) (6)
P T ?> -symmetric sine-Gordon breathers (2014) (6)
Rogue Waves as Self-Similar Solutions on a Background: A Direct Calculation (2019) (6)
Rogue waves of ultra-high peak amplitude: a mechanism for reaching up to a thousand times the background level (2020) (6)
Solitary waves in the Ablowitz–Ladik equation with power-law nonlinearity (2018) (6)
Crossover dark soliton dynamics in ultracold one-dimensional Bose gases (2007) (6)
Dark solitary waves in a class of collisionally inhomogeneous Bose-Einstein condensates (2012) (6)
The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates (2012) (6)
Enhanced quantum spin fluctuations in a binary Bose-Einstein condensate (2017) (6)
Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers (2014) (6)
A PT -Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling (2016) (6)
Analysis and observation of moving domain fronts in a ring of coupled electronic self-oscillators. (2017) (6)
Nonlinear Waves in a Strongly Nonlinear Resonant Granular Chain (2015) (6)
Thresholds for soliton creation in the Ablowitz-Ladik lattice (2009) (6)
Skyrmion-like states in two- and three-dimensional dynamical lattices. (2007) (6)
Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss (2017) (6)
Stabilizing the discrete vortex of topological charge S=2. (2005) (6)
Solitons in coupled Toda lattices (2002) (6)
Collapse for the higher-order nonlinear Schrödinger equation (2015) (6)
Traveling waves of the regularized short pulse equation (2014) (6)
Elliptic Dark Solitons (2004) (6)
On 3+1 Dimensional Scalar Field Cosmologies (2004) (6)
Existence, stability and nonlinear dynamics of vortices and vortex clusters in anisotropic Bose-Einstein condensates (2012) (6)
Ground-state properties of small-size nonlinear dynamical lattices. (2006) (6)
Multiple dark solitons in Bose-Einstein condensates at finite temperatures (2010) (6)
Two alternative scenarios for easing COVID-19 lockdown measures: one reasonable and one catastrophic (2020) (6)
Čerenkov-like radiation in a binary superfluid flo w past an obstacle (2007) (6)
A Novel Mechanism for Superfluidity Breakdown in Weakly Coupled Bose-Einstein Condensates (2002) (5)
The parametrically modified sine-Gordon equation: spectral properties, collisions, resonances and their connection to integrability (2002) (5)
The drastic role of beyond-nearest-neighbor interactions on discrete two-dimensional dynamical lattices: a case example (2013) (5)
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation (2020) (5)
Spatial solitons under competing linear and nonlinear diffractions. (2012) (5)
Nonlinearity and Topology (2020) (5)
Discrete breathers in φ 4 and related models (2019) (5)
Dark solitons in a Gross–Pitaevskii equation with a power-law nonlinearity: application to ultracold Fermi gases near the Bose–Einstein condensation regime (2011) (5)
Hysteresis and metastability in the quenched turbulent dynamics of the complex Ginzburg-Landau equation. (2001) (5)
Linear impurity modes in an electrical lattice: Theory and experiment. (2019) (5)
Multi-vortex crystal lattices in Bose–Einstein condensates with a rotating trap (2017) (5)
Dark–dark soliton breathing patterns in multi-component Bose–Einstein condensates (2020) (5)
Few-particle vortex cluster equilibria in Bose–Einstein condensates: existence and stability (2013) (5)
Effects of Long-Range Nonlinear Interactions in Double-Well Potentials (2010) (5)
Existence, stability and dynamics of discrete solitary waves in a binary waveguide array (2015) (5)
A Korteweg–de Vries description of dark solitons in polariton superfluids (2017) (5)
Universal reductions and solitary waves of weakly nonlocal defocusing nonlinear Schrödinger equations (2020) (5)
Equation-free dynamic renormalization in a glassy compaction model. (2004) (5)
Quantum switches and quantum memories for matter-wave lattice solitons (2007) (5)
Stability analysis of ground states in a one-dimensional trapped spin-1 Bose gas (2019) (5)
O ct 2 02 1 Formation and quench of homo-and hetero-nuclear quantum droplets in one-dimension (2021) (5)
Formation of fundamental solitons in the two-dimensional nonlinear Schrödinger equation with a lattice potential (2010) (5)
Structure and stability of two-dimensional Bose–Einstein condensates under both harmonic and lattice confinement (2008) (5)
Symmetric and antisymmetric soliton states in two-dimensional photonic lattices. (2006) (5)
Dynamics of interacting dark soliton stripes (2019) (5)
Effects of Interactions on the Generalized Hong–Ou–Mandel Effect (2015) (5)
Stationary multi-kinks in the discrete sine-Gordon equation (2021) (4)
Extended nonlinear waves in multidimensional dynamical lattices (2009) (4)
Backcasting COVID-19: a physics-informed estimate for early case incidence (2022) (4)
Existence, stability, and dynamics of monopole and Alice ring solutions in antiferromagnetic spinor condensates (2021) (4)
Averaging of nonlinearity management with dissipation (2008) (4)
Spontaneous Formation of Star-Shaped Surface Patterns in a Driven Bose-Einstein Condensate. (2021) (4)
Dark solitons under higher-order dispersion. (2021) (4)
On the nonexistence of degenerate phase-shift multibreathers in Klein–Gordon models with interactions beyond nearest neighbors (2019) (4)
Phononic rogue waves (2018) (4)
Breathers and other time-periodic solutions in an array of cantilevers decorated with magnets (2019) (4)
Shock and Rarefaction Waves in Generalized Hertzian Contact Models (2016) (4)
Self-trapping transition for a nonlinear impurity within a linear chain (2013) (4)
Bright solitary waves on a torus: Existence, stability and dynamics for the nonlinear Schrödinger model (2019) (4)
Complexity at Mesoscale (2000) (4)
Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia. (2021) (4)
Krein Signature in Hamiltonian and PT -Symmetric Systems (2017) (4)
Hamiltonian bifurcation perspective on two interacting vortex pairs: From symmetric to asymmetric leapfrogging, period doubling, and chaos (2017) (4)
Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation (2021) (4)
Many-body effects on second-order phase transitions in spinor Bose-Einstein condensates and breathing dynamics (2020) (4)
Solitary and periodic waves in collisionless plasmas: The Adlam-Allen model revisited. (2020) (4)
Exploring critical points of energy landscapes: From low-dimensional examples to phase field crystal PDEs (2020) (4)
Complex mode dynamics of coupled wave oscillators. (2013) (4)
Existence, Stability and Dynamics of Harmonically Trapped One-Dimensional Multi-Component Solitary Waves: The Near-Linear Limit (2016) (4)
Two-dimensional rogue waves on zero background of the Davey-Stewartson II equation. (2019) (4)
Localization in optical systems with an intensity-dependent dispersion (2021) (4)
Kink–antikink interaction forces and bound states in a ϕ 4 model with quadratic and quartic dispersion (2020) (4)
Symmetry-Breaking Effects for Polariton Condensates in Double-Well Potentials (2012) (4)
Nonlinear Schrödinger equations under random nonlinearity management (2009) (4)
Emergence and analysis of Kuramoto-Sakaguchi-like models as an effective description for the dynamics of coupled Wien-bridge oscillators. (2016) (4)
Elastic Spin Chains (2009) (4)
Scattering of matter waves in spatially inhomogeneous environments (2015) (4)
Book Review: Discrete and continuous nonlinear Schrödinger systems (2005) (4)
Domain-wall crosses and propellers in binary Bose-Einstein condensates (2005) (4)
Nonlinear lattices generated from harmonic lattices with geometric constraints (2004) (4)
Effect of backleak in nephron dynamics. (2003) (4)
Nonlinear dispersion relations (2007) (4)
Translational invariance in nucleation theories: theoretical formulation. (2001) (4)
A Toolkit For Steady States of Nonlinear Wave Equations: Continuous Time Nesterov and Exponential Time Differencing Schemes (2017) (3)
Lattices with internal resonator defects (2018) (3)
Existence, Stability and Dynamics of Nonlinear Modes in a 2D PartiallyPT Symmetric Potential (2017) (3)
Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation (2020) (3)
Multipulses in discrete Hamiltonian nonlinear systems. (2001) (3)
Cubic–quintic long-range interactions with double well potentials (2012) (3)
Existence and stability of PT-symmetric states in nonlinear two-dimensional square lattices (2015) (3)
Asymptotic calculation of discrete non-linear wave interactions (2005) (3)
𝒫𝒯$\mathcal {P}\mathcal {T}$-Symmetric Dimer in a Generalized Model of Coupled Nonlinear Oscillators (2015) (3)
Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension (2021) (3)
Stability of waves in multi-component DNLS system (2007) (3)
Schwarzschild–Finsler–Randers spacetime: geodesics, dynamical analysis and deflection angle (2022) (3)
Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models (2015) (3)
MECHANISMS CONTROLLING THE OUTDOOR/INDOOR RELATIONSHIPS OF FINE PARTICLE LEVELS AND CHARACTERISTICS (2002) (3)
$\mathcal{PT}$-symmetric ladders with a scattering core (2014) (3)
Dynamics of bright solitons and soliton arrays in the nonlinear Schrödinger equation with a combination of random and harmonic potentials (2011) (3)
On the characterization of vortex configurations in the steady rotating Bose–Einstein condensates (2017) (3)
Linear and nonlinear dynamics of isospectral granular chains (2016) (3)
Solitary waves with intensity-dependent dispersion: variational characterization (2021) (3)
Hydrodynamics and two-dimensional dark lump solitons for polariton superfluids. (2018) (3)
Discrete nonlinear model with substrate feedback. (2002) (3)
Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates (2020) (3)
Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation (2015) (3)
Rogue waves and periodic solutions of a nonlocal nonlinear Schrödinger model (2019) (3)
Plane waves and localized modes in quadratic waveguide arrays (2008) (3)
Interactions and scattering of quantum vortices in a polariton condensate (2017) (3)
An exploding glass (2003) (3)
Fractional-period excitations in continuum periodic systems (2005) (3)
Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons (2016) (3)
Dynamical transitions between equilibria in a dissipative Klein–Gordon lattice (2018) (3)
Kink dynamics in a nonlinear beam model (2020) (3)
Speed-of-light pulses in a massless nonlinear Dirac equation. (2018) (3)
Nonlinear Schr\"{o}dinger lattices I: Stability of discrete solitons (2004) (3)
Stability of traveling waves in a driven Frenkel-Kontorova model (2019) (3)
Skyrmion-like excitations in dynamical lattices (2006) (2)
Control of $^{164}$Dy Bose-Einstein condensate phases and dynamics with dipolar anisotropy (2022) (2)
Ground States in Spatially Discrete Nonlinear Schr\"odinger Lattices (2021) (2)
Solitary Waves of the Camassa-Holm Derivative Nonlinear Schr\"odinger equation (2018) (2)
Reduced dynamics for one and two dark soliton stripes in the defocusing nonlinear Schrödinger equation: A variational approach (2019) (2)
Transient radiative behavior of Hamiltonian systems in finite domains (2005) (2)
$$\phi ^4$$ Solitary Waves in a Parabolic Potential: Existence, Stability, and Collisional Dynamics (2018) (2)
Vortex pairs in the discrete nonlinear Schrödinger equation (2019) (2)
A Modified PINN Approach for Identifiable Compartmental Models in Epidemiology with Application to COVID-19 (2022) (2)
Discrete baby and three-dimensional skyrmions (2009) (2)
Discrete solitons and vortices in anisotropic hexagonal and honeycomb lattices (2015) (2)
Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit (2012) (2)
Mixed dispersion nonlinear Schrödinger equation in higher dimensions: theoretical analysis and numerical computations (2022) (2)
Author Correction: Direct measurement of superdiffusive energy transport in disordered granular chains (2018) (2)
The effect of the Phi4 kink’s internal mode during scattering on PT-symmetric defect (2015) (2)
Solitary matter waves in combined linear and nonlinear potentials: Detection, stability, and dynamics (2013) (2)
2D solutions of the hyperbolic discrete nonlinear Schrödinger equation (2018) (2)
Propagation of periodic wave trains along the magnetic field in a collision-free plasma (2020) (2)
Shear circular dislocation loops investigated with elasticity theory and atomistic simulations (2000) (2)
Normal form for the onset of collapse: The prototypical example of the nonlinear Schrödinger equation. (2020) (2)
Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points (2020) (2)
Spatiotemporal solitons in birefringent media near the zero-dispersion point (2006) (2)
Travelling solitary waves in the discrete nonlinear Schrodinger equation with saturable nonlinearity: existence, stability and dynamics (2007) (2)
Discrete skyrmions in 2+12+1 and 3+13+1 dimensions (2008) (2)
On the nonexistence of degenerate phase-shift multibreathers in a zigzag Klein-Gordon model (2018) (2)
Discrete breathers in a nonlinear polarizability model of ferroelectrics. (2011) (2)
Anomalous modes and matter-wave vortices in the presence of collisional inhomogeneities and finite temperature (2009) (2)
Discrete Breathers in $$\phi ^4$$ and Related Models (2019) (2)
On the Reduction of a Nonlinear SCHRÖDINGER Equation with a Periodic Potential to a Vector Lattice (2003) (2)
On the collapse arresting effects of discreteness (2005) (2)
Quenched dynamics of two-dimensional solitary waves and vortices in the Gross–Pitaevskii equation (2012) (2)
Unstable dynamics of solitary traveling waves in a lattice with long-range interactions (2021) (2)
Revisiting Diffusion: Self-similar Solutions and the $t^{-1/2}$ Decay in Initial and Initial-Boundary Value Problems (2017) (2)
A numerical bifurcation analysis of a dryland vegetation model (2017) (2)
Formation of Vortices, Vortex Necklaces and Vortex Rings in Sliced Condensates (2006) (2)
Stability of solitary waves in finite Ablowitz-Ladik lattices (2002) (2)
Emergence of unstable modes in an expanding domain for energy-conserving wave equations (2007) (2)
PT-Symmetric dimer in a generalized model of coupled nonlinear oscillators (2014) (2)
Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: An example of an antidamped Josephson junction (2012) (2)
Dark-bright solitons in coupled NLS equations with unequal dispersion coefficients (2014) (2)
Transmission of nonlinear localized modes through waveguide bends (2005) (2)
Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations (2009) (2)
Instabilities of a vortex-ring-bright soliton in trapped binary three-dimensional Bose-Einstein condensates (2021) (2)
Nonlinear waves in an experimentally motivated ring-shaped Bose-Einstein-condensate setup (2019) (2)
Scattering of a Solitary Pulse on a Local Defect or Breather (2002) (2)
Nonlinear Beam Propagation in a Class of Complex Non-$\mathcal {PT}$-Symmetric Potentials (2018) (2)
Solitons and soliton interactions in repulsive spinor Bose–Einstein condensates with nonzero background (2021) (2)
Dark soliton scattering in symmetric and asymmetric double potential barriers (2017) (2)
Instabilities via negative Krein signature in a weakly non-Hamiltonian DNLS model (2019) (2)
Dense dark-bright soliton arrays in a two-component Bose-Einstein condensate (2022) (2)
On-demand generation of dark-bright soliton trains in Bose-Einstein condensates (2021) (2)
Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment. (2021) (2)
Dark-antidark spinor solitons in spin-1 Bose gases (2020) (2)
Some Case Example Exact Solutions for Quadratically Nonlinear Optical Media with PT-Symmetric Potentials (2015) (2)
A spectral analysis of the nonlinear Schrödinger equation in the co-exploding frame (2022) (2)
Solitary waves of the two-dimensional Camassa–Holm—nonlinear Schrödinger equation (2018) (1)
J ul 2 01 3 Damped-Driven Granular Crystals : An Ideal Playground for Dark Breathers and (2013) (1)
Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices (2010) (1)
Statistical mechanics of one-dimensional quantum droplets (2021) (1)
Matter-wave solitons in the presence of collisional inhomogeneities: Perturbation theory and the impact of derivative terms (2008) (1)
Theoretical and numerical evidence for the potential realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates (2021) (1)
Thermalization in the one-dimensional Salerno model lattice. (2020) (1)
Floquet solitons in square lattices: Existence, stability, and dynamics. (2021) (1)
Equation-Free Computations as DDDAS Protocols in the Study of Engineered Granular Crystals (2013) (1)
Discrete breathers in a mechanical metamaterial. (2022) (1)
Discrete BPS skyrmions (2017) (1)
Characterization of elastic topological states using dynamic mode decomposition (2022) (1)
Stability and dynamics across magnetic phases of vortex-bright type excitations in spinor Bose-Einstein condensates (2021) (1)
Asymptotic dynamics of higher-order lumps in the Davey–Stewartson II equation (2022) (1)
In : Ordinary and Partial Differential Equations (2015) (1)
Optical manipulation of matter-waves (2005) (1)
Modelling of spatial infection spread through heterogeneous population: from lattice to partial differential equation models (2022) (1)
DUPLICATE: Solitons in coupled nonlinear Schrödinger models: A survey of recent developments (2016) (1)
Non-symmetric kinks in Klein-Gordon chains free of the Peierls-Nabarro potential (2018) (1)
P S ] 2 7 O ct 2 00 9 Excited states in the Thomas – Fermi limit : a variational approach (2009) (1)
Stability and dynamics across magnetic phases of nonlinear excitations in two-dimensional spinor Bose-Einstein condensates (2021) (1)
Dark Soliton Dynamics In Bose-Einstein Condensates (2010) (1)
The role of mobility in the dynamics of the COVID-19 epidemic in Andalusia (2022) (1)
Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns (2022) (1)
The Defocusing Case (2009) (1)
Nonlinear Schrodinger lattices II: Persistence and stability of discrete vortices (2004) (1)
Dragging a defect in a droplet Bose-Einstein condensate (2022) (1)
Numerical methods for DNLS (2009) (1)
Using the Continuous Spectrum to “Feel” Integrability: the Effect of Boundary Conditions (2002) (1)
Transverse instabilities of stripe domains in magnetic thin films with perpendicular magnetic anisotropy (2017) (1)
Bubble interactions for the Mullins-Sekerka problem: Some case examples (2009) (1)
Nonlinear Anti-(Parity-Time) Symmetric Dimer (2022) (1)
Transverse instability and dynamics of nonlocal bright solitons (2021) (1)
SPECTRAL STABILITY ANALYSIS FOR STANDING WAVES OF A PERTURBED KLEIN-GORDON EQUATION (2014) (1)
On the generation and propagation of solitary waves in integrable and non-integrable nonlinear lattices (2020) (1)
How close are integrable and nonintegrable models: A parametric case study based on the Salerno model. (2022) (1)
Time- and space-variant wave transmission in helicoidal phononic crystals (2014) (1)
Nonlinear from linear states in two-component Bose–Einstein condensates (2009) (1)
Dirac Solitons and Topological Edge States in the $\beta$-Fermi-Pasta-Ulam-Tsingou dimer lattice (2022) (1)
J un 2 01 5 High energy density in multi-soliton collisions (2018) (1)
Nonlinearity management in optics (2007) (1)
Existence, Stability & Dynamics of Nonlinear Modes in a 2d Partially $\mathcal{PT}$ Symmetric Potential (2017) (1)
Ju l 2 01 9 Dynamics of interacting dark soliton stripes (2019) (1)
Intrinsic Localized Modes in nonlinear two-dimensional electrical lattices (2013) (1)
Using the finite domain remnant of the continuous spectrum to examine integrability: effect of boundary conditions. (2003) (1)
Translational invariance in the theory of nucleation (2001) (1)
Correlation Effects in the Quench-Induced Phase Separation Dynamics of a Two-Component Ultracold Quantum Gas (2018) (1)
Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices (2015) (1)
Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential (2022) (1)
Lattice three-dimensional skyrmions revisited (2014) (1)
Theoretical and Computational Advances in Nonlinear Dynamical Systems (2017) (1)
Existence, stability and dynamics of solitary waves in spinor dynamical lattices (2010) (1)
Krein Signature in Hamiltonian and $$\mathbb {}$$-Symmetric Systems (2017) (1)
Pairwise interactions of ring dark solitons with vortices and other rings: Stationary states, stability features, and nonlinear dynamics (2021) (1)
Staggered PT-symmetric ladders with cubic nonlinearity (2015) (1)
On the (non) existence of phase-shift discrete solitons in a dNLS nonlocal lattice (2017) (1)
Wave manipulation using a bistable chain with reversible impurities. (2021) (1)
Resonant interaction of P hi ^ 4 kink with spatially periodic PT-symmetric perturbation (2017) (1)
Discrete Breathers in a One-Dimensional Granular Metamaterial: Linear Lattice with Nonlinear Local Resonators (2014) (1)
Control of the symmetry breaking in double-well potentials by the resonant nonlinearity management. (2011) (1)
Polarobreathers in soft potentials (2005) (1)
Title Kink Internal Modes and Kink Mobility in Klein-Gordon Lattices without Peierls-Nabarro Potential (Mathematical Aspects and Applications of Nonlinear Wave Phenomena) (2021) (1)
P S ] 7 O ct 2 00 4 Nonlinear Schrödinger lattices I : Stability of discrete solitons (2009) (1)
HIGHLY NONLINEAR SOLITARY WAVES IN PERIODIC GRANULAR MEDIA (2008) (1)
The instabilities beyond modulational type in a repulsive Bose-Einstein condensate with a periodic potential (2023) (0)
2 M ar 2 00 0 Dynamics of lattice kinks (2000) (0)
Discrete breathers , multibreathers and vortices in 2 D dust crystals (2008) (0)
Periodic traveling waves in the ϕ^{4} model: Instability, stability, and localized structures. (2023) (0)
Reply to “Comment on ‘Localized vortices with a semi-integer charge in nonlinear dynamical lattices’ ” (2002) (0)
Series Mathematics and Statistics 2005 Discrete peakons (2018) (0)
Coupling fields and underlying space curvature: an augmented Lagrangian approach. (2003) (0)
Existence, Stability, and Dynamics of Bright Vortices in the Cubic-Quintic Nonlinear (2009) (0)
Dissipative hydrodynamics in a quantum-fluid piston shock (2017) (0)
Chapter 2: The One-Dimensional Case (2015) (0)
Dynamical Barrier for the Nucleation of Solitary Waves in Discrete Lattices (0)
Language competition on lattices (2021) (0)
Title : Modeling Tumor-Induced Angiogenesis in the Cornea (2005) (0)
To Infinity and Beyond: Some ODE and PDE Case Studies (2016) (0)
Nonlinear stability of oscillatory pulses in the PNLS (2017) (0)
Breathers in lattices with alternating strain-hardening and strain-softening interactions (2022) (0)
Collapse for the defocusing higher-order nonlinear Schr\"odinger equation (2015) (0)
Solitary waves in trapped quantum droplets (2023) (0)
D ec 2 00 8 Dissipative Solitary Waves in Granular Crystals (2018) (0)
Extreme events in near integrable lattices (2017) (0)
Onset and Irreversibility of Granulation of Bose-Einstein condensates under Feshbach Resonance Management (2021) (0)
To infinity and some glimpses of beyond (2017) (0)
Linear and Nonlinear Bound States in Curved Waveguides (2004) (0)
Multi-frequency and edge localized modes in mechanical and electrical lattices (2016) (0)
Turbulence-induced viscous dissipation in a quantum-mechanical piston shock (2017) (0)
Excited Bose-Einstein condensates: Quadrupole oscillations and dark solitons (2012) (0)
Equation-Free Effective Computation for Discrete Systems: a Time Stepper Based Approach (2006) (0)
A brief review of the Aubry – André model (2018) (0)
Kink-Antikink Interaction Forces and Bound States in a Nonlinear Schr¨Odinger Model with Quadratic and Quartic Dispersion (2022) (0)
A Unifying Perspective: Hamiltonian Lattice Traveling Waves As Discrete Breathers And Energy Criteria For Their Stability (2017) (0)
D ec 2 00 4 Nonlinear Lattice Dynamics of Bose-Einstein Condensates (2018) (0)
O ct 2 00 4 On Some Classes of mKdV Periodic Solutions (2004) (0)
Publisher's Note: Breathers in periodic granular chains with multiple band gaps [Phys. Rev. E86, 061305 (2012)] (2012) (0)
Exciting and Harvesting Vibrational States in Harmonically Driven Granular Chains (2015) (0)
Nonlinear Waves in Discrete and Continuum Systems (2022) (0)
in disordered granular chains. (2018) (0)
Direct measurement of superdiffusive and subdiffusive energy transport in disordered granular chains (2017) (0)
M ay 2 00 9 Manipulation of Vortices by Localized Impurities in Bose-Einstein Condensates (2009) (0)
Traveling dark-bright solitons in a reduced spin-orbit coupled system: application to Bose-Einstein condensates (2017) (0)
Experimental realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates (2023) (0)
D ec 2 00 4 Nonlinear Schrödinger lattices I : Stability of discrete solitons (2008) (0)
Standing and Traveling Waves in a Model of Periodically Modulated One-dimensional Waveguide Arrays (2023) (0)
Traveling waves in 2D hexagonal granular crystal lattices (2014) (0)
Ju l 2 01 4 Generating Functions , Polynomials and Vortices with Alternating Signs in Bose-Einstein Condensates (2017) (0)
Multi-Component Nonlinear Waves in Optics and Atomic Condensates: Theory, Computations and Experiments (2016) (0)
Chapter 4: The Three-Dimensional Case (2015) (0)
Series Mathematics and Statistics 2007 Two-dimensional discrete solitons in rotating lattices (2017) (0)
Scattering of Waves by One or More Impurities in Precompressed Granular Chains (2016) (0)
Series Mathematics and Statistics 2006 Nonlinearity management in higher dimensions (2017) (0)
From Dark Solitons to Vortex Clusters in Bose-Einstein Condensates (2012) (0)
Discrete (Dark) Breathers (2018) (0)
First-principles calculation of phase and amplitude dynamics for coupled Wien-bridge oscillators (2017) (0)
1 M ay 2 01 8 φ 4 Solitary Waves in a Parabolic Potential : Existence , Stability , and Collisional Dynamics (2018) (0)
Media with Onsite Forces: The Newton’s Cradle and Beyond (2018) (0)
On some configurations of oppositely charged trapped vortices in the plane (2018) (0)
Traveling Waves for the Mass in Mass Model of Granular Chains (2016) (0)
Many-Body effects in the snaking instability of bent dark solitons (2017) (0)
Two-Dimensional Solitons and their Interactions on a Continuous-Wave Background (2002) (0)
Energy localization and transport in two-dimensional electrical lattices (2014) (0)
Ju l 2 00 6 Discrete surface solitons in two dimensions (2018) (0)
Observation nonlinearity-induced symmetry breaking in a photorefractive waveguide lattice (2005) (0)
Discovering Governing Equations in Discrete Systems Using PINNs (2022) (0)
P S ] 6 A ug 2 02 1 Kink-antikink interactions in the one-and two-dimensional sine-Gordon equation (2021) (0)
Generation of Quantum Dark Solitons via a Localized Driven Impurity (2018) (0)
Statistical Mechanics of DNLS (2009) (0)
M ay 2 00 4 Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates (2017) (0)
2 1 A ug 2 01 7 Asymptotic Expansions and Solitons of the Camassa-Holm – Nonlinear Schrödinger Equation (2018) (0)
Fe b 20 14 Dynamic and Energetic Stabilization of Persistent Currents in Bose-Einstein Condensates (2017) (0)
Persistent currents from the decay of quantum turbulence: signatures of an inverse energy cascade in Bose-Einstein condensates (2011) (0)
QUASILOCAL MODES AND THE BREAKING OF INTEGRABILITY (2003) (0)
Dispersive Shock Waves (2018) (0)
Approximated profiles for discrete solitons in DNLS lattices (2007) (0)
Publication Number: CSRCR2006-09 Mobility of Discrete Solitons in Quadratic Nonlinear Media (2007) (0)
1 9 M ar 2 01 9 Dynamics of interacting dark soliton stripes (2019) (0)
On the Existence of Solitary Traveling Waves for Generalized Hertzian Chains (2012) (0)
Se p 20 07 Bright-Dark Soliton Complexes in Spinor Bose-Einstein Condensates (2018) (0)
Superfluid F low Past an Obstacle in Annular (2015) (0)
Dispersive shock waves in lattices: A dimension reduction approach (2022) (0)
P S ] 24 S ep 2 01 3 Directed Ratchet Transport in Granular Crystals (2014) (0)
ON DISCRETE MODELS OF THE QUANTUM BOLTZMANN EQUATION (2017) (0)
Solitary wave billiards. (2022) (0)
2 5 O ct 2 01 8 Discrete variants of the φ 4 model : exceptional discretizations , conservation laws and related topics (2018) (0)
Two-dimensional discrete solitons in rotating optical lattices (2008) (0)
Rogue and solitary waves in coupled phononic crystals. (2021) (0)
Equation-Free Computations as DDDAS Protocols for Bifurcation Studies: A Granular Chain Example (2023) (0)
From Nodeless States and Vortices to Gray Rings and Symmetry-Broken States in Two-Dimensional Polariton Condensates (2013) (0)
Discrete solitons in optical BEC lattices. Effects of n-body interactions (2006) (0)
Discrete breathers and vortices in hexagonal dust crystals (2008) (0)
Forced symmetry breaking as a mechanism for rogue bursts in a dissipative nonlinear dynamical lattice. (2022) (0)
Instabilities via Negative Krein Signature in a Non-Conservative DNLS Model (2017) (0)
2 S ep 2 00 3 Breather lattice and its stabilization for the modified Kortewegde Kortewegde Kortewegde Vries equation (2017) (0)
J an 2 00 3 An exploding glass ? (2018) (0)
D ec 2 00 5 Polarobreathers in soft potentials (2018) (0)
Vortex Dynamics in Atomic BECs: Some Recent Developments (2015) (0)
Discrete variants of the phi4 model: exceptional discretizations, conservation laws and related topics (2018) (0)
EmergenceandStabilityofVortexClustersinBose-EinsteinCondensates: aBifurcationApproachneartheLinearLimit (2010) (0)
Extracting Information from Multiplex Networks (2018) (0)
Going beyond the double well: complex mode dynamics of effective coupled oscillators in infinite dimensional systems (2013) (0)
COMPUTATIONAL SCIENCE & ENGINEERING (2008) (0)
A pr 2 01 8 Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates (2018) (0)
Series Mathematics and Statistics 2004 Parametric and modulational instabilities of the discrete nonlinear Schrödinger equation (2017) (0)
Effects of Discreteness in Solitonic Excitations : A Future Challenge or just Numerical Observations ? (0)
E 98 , 032902 ( 2018 ) Lattices with internal resonator defects (2018) (0)
Half-Period Excitations in Continuum Periodic Systems (2005) (0)
A pr 2 00 8 Two-Component Nonlinear Schrödinger Models with a Double-Well Potential (2018) (0)
Dark-bright soliton complexes: bifurcations and collisions (2018) (0)
Kink dynamics in a parametric ϕ6 system: a model with controllably many internal modes (2017) (0)
2 0 Ju n 20 06 Nonlinearity Management in Optics : Experiment , Theory , and Simulation (2017) (0)
Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach (2022) (0)
Dynamics of two languages competing on a network: a case study (2021) (0)
An Ising machine based on networks of subharmonic electrical resonators (2022) (0)
Control of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Dy</mml:mi><mml:mprescripts /><mml:none /><mml:mn>164</mml:mn></mml:mmultiscripts></mml:math> Bose-Einstein condensate phases and dynamics with dipolar anisotropy (2022) (0)
Machine learning independent conservation laws through neural deflation (2023) (0)
On the temporal tweezing of cavity solitons (2023) (0)
Bent dark soliton dynamics in two spatial dimensions beyond the mean field approximation (2017) (0)
Amherst Lattice Three-Dimensional Skyrmions Revisited (2018) (0)
Observation of dense collisional soliton complexes in a two-component Bose-Einstein condensate (2022) (0)
Stationary solitons in $F=1$ spin-orbit coupled Bose-Einstein condensates (2022) (0)
Realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates (2021) (0)
Dynamical instability of 3D stationary and traveling planar dark solitons (2022) (0)
Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics (2019) (0)
Superfluid vortex multipoles and soliton stripes on a torus (2022) (0)
Publisher's Note: Solitary waves in discrete media with four-wave mixing [Phys. Rev. E73, 066601 (2006)] (2006) (0)
Ju n 20 09 Phase Separation and Dynamics of Two-component Bose-Einstein Condensates (2009) (0)
Direct perturbation theory for dark-bright solitons: Application to Bose-Einstein condensates (2016) (0)
Effects of PT-symmetry in Nonlinear Klein-Gordon Models and Their Stationary Kinks (2013) (0)
Se p 20 05 Solitary Waves in Discrete Media with Four Wave Mixing (2017) (0)
Dark lattice solitons in one-dimensional waveguide arrays with defocusing saturable nonlinearity and alternating couplings (2012) (0)
Direct measurement of superdiffusive energy transport in disordered granular chains (2018) (0)
Solitary Waves of a <inline-formula><tex-math notation="LaTeX">$\mathcal {P}$</tex-math></inline-formula><inline-formula> <tex-math notation="LaTeX">$\mathcal {T}$</tex-math></inline-formula>-Symmetric Nonlinear Dirac Equation (2016) (0)
Discrete diffraction and solitons in light-induced Bessel-like photonic lattices (2006) (0)
Effect of the ϕ4 kink’s internal mode at scattering on a PT-symmetric defect (2015) (0)
From Vortex Rings to Hopfions in 3d Bose-Einstein Condensates (2016) (0)
Experimental Study of Nonlinear Resonances and Anti-Resonances in a Forced, Ordered Granular Chain (2016) (0)
2 1 Se p 20 07 Non-Equilibrium Dynamics and Superfluid Ring Excitations in Binary Bose-Einstein Condensates (2013) (0)
Coherent Structures in PDEs and Their Applications (2016) (0)
Direct observation of chimera-like states in a ring of coupled electronic self-oscillators (2017) (0)
Surface solitons in three dimensions QE (2018) (0)
The dynamical playground of a higher-order nonlinear Schr\"odinger equation: from orbital connections and limit cycles to invariant tori and the onset of chaos (2015) (0)
Stable Vortex-Bright-Soliton Structures in Two- (2010) (0)
2 Fe b 20 03 Feedback Loops Between Fields and Underlying Space Curvature : an Augmented Lagrangian Approach (2017) (0)
Time-localized solitons generated by zero-wavenumber-gain modulational instability (2023) (0)
Modulational instability in nonlinearity-managed optical media Modulational instability in nonlinearity-managed optical media (2020) (0)
Families of matt er-waves in two-component Bose- (2003) (0)
Parity-time symmetric coupler with birefringent arms (2012) (0)
Nonlinearity from geometric interactions: a case example. (2004) (0)
Vaccination compartmental epidemiological models for the delta and omicron SARS-CoV-2 variants (preprint) (2023) (0)
Author Correction: Direct measurement of superdiffusive energy transport in disordered granular chains (2018) (0)
Energy Exchange and Excitation of Internal Modes in Near Separatrix Soliton Collisions (Nonlinear Wave Phenomena and Applications) (2004) (0)
Wissenschaftliche Veröffentlichungen Eingereichte Und Akzeptierte Arbeiten Justification of Leading Order Quasi- Continuum Approximations of Strongly Nonlinear Lattices. Dcds-a. Accepted (0)
Focusing Revisited: an MN-dynamics Approach (2002) (0)
PT-symmetric coupler with \chi^2 nonlinearity (2013) (0)
Se p 20 07 Non-Equilibrium Dynamics and Superfluid Ring Excitations in Binary Bose-Einstein Condensates (2018) (0)
Solitary waves in a quantum droplet-bearing system (2023) (0)
N ov 2 00 8 Wave patterns generated by a supersonic moving body in a binary Bose-Einstein condensate (2018) (0)
Erratum: Stable Vortex-Bright-Soliton Structures in Two-Component Bose-Einstein Condensates [Phys. Rev. Lett. 105, 160405 (2010)] (2011) (0)
HOMOGENIZATION FOR SOME PERIODIC AND RANDOM NONLINEAR SCHRÖDINGER MODELS (0)
J ul 2 01 0 Nonlinear Waves in Disordered Diatomic Granular Chains (2017) (0)
Ju l 2 01 1 Dark-bright ring solitons in Bose-Einstein condensates (2017) (0)
Determining s-wave Scattering Length Ratios from Binary Condensate Dynamics (2006) (0)
2 3 N ov 2 00 5 Discrete vector on-site vortices (2008) (0)
Manipulations of Coherent Matter-Waves (2008) (0)
Solitons in Two-dimensional Arrays of χ (2) Waveguides (2002) (0)
P S ] 2 2 Fe b 20 17 Dark Soliton Scattering in Symmetric and Asymmetric Double Potential (2017) (0)
D ec 2 00 3 Families of Matter-Waves for Two-Component Bose-Einstein Condensates (2018) (0)
Fe b 20 07 Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates (2007) (0)
Some case example exact solutions for quadratically nonlinear optical media with $\mathcal{PT}$-symmetric potentials (2015) (0)
Formation of Localized Modes in DNLS (2009) (0)
Solitons in two-dimensional arrays of /spl chi//sup (2)/ waveguides (2002) (0)
Bright discrete solitons in spatially modulated DNLS systems (2015) (0)
Erratum to: Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping (2013) (0)
P S ] 2 0 M ar 2 00 8 Averaging of Nonlinearity Management with Dissipation (0)
F eb 2 00 3 Ring dark solitons and vortex necklaces in Bose-Einstein condensates (2019) (0)
Solitons in Multi-Component Nonlinear Schrodinger Models: A Survey of Recent Developments (2015) (0)
A pr 2 00 3 Darkin-Bright Solitons in Bose-Einstein Condensates with Attractive Interactions (2008) (0)
Self-trapping of optical vortices in photonic lattices optically induced with self-defocusing nonlinearity (2008) (0)
P S ] 4 D ec 2 01 4 When Does Linear Stability Not Exclude Nonlinear Instability ? (2014) (0)
Bose – Einstein Condensates Theory and Experiment 123 Emergent Nonlinear Phenomena (2019) (0)
Chapter 3: The Two-Dimensional Case (2015) (0)
2 6 Se p 20 05 Solitary Waves in Discrete Media with Four Wave Mixing (2014) (0)
P S ] 2 4 M ay 2 01 8 Solitary Waves of the Two-Dimensional Camassa-Holm – Nonlinear Schrödinger Equation (2018) (0)
N-break states in a chain of nonlinear oscillators. (2018) (0)
Existence, Stability and Dynamics of Some Single- and Multi-Component Solitary Waves: From Theory to Experiments (2012) (0)
Quench-Induced Phase Separation Dynamics in Two-Component Bose Einstein Condensates (2018) (0)
Dark solitons in a trapped gas of long-range interacting bosons (2021) (0)
Erratum to: “Dynamical barrier for the formation of solitary waves in discrete lattices” [Phys. Lett. A 372 (2008) 2247] (2008) (0)
Discrete skyrmions in 2+1 and 3+1 dimensions (2017) (0)
Vortex Solutions of the Defocusing Discrete Nonlinear Schrödinger Equation (2009) (0)
Extracting Information from Multiplex Networks Extracting Information from Multiplex Networks (2021) (0)
Kink Internal Modes and Kink Mobility in Klein-Gordon Lattices without Peierls-Nabarro Potential (波の非線形現象の数理とその応用研究集会報告集) (2005) (0)
31aXA-9 Lattice Compactons (2003) (0)
Dissipative shock waves generated by a quantum-mechanical piston (2018) (0)
2 5 M ar 2 01 4 sine-Gordon Equation : From Discrete to Continuum (2019) (0)
Polarized States and Domain Walls in Spinor (2008) (0)
eb 2 00 9 Higher-order effects and ultra-short solitons in left-handed metamaterials (2017) (0)
Modelling of spatial infection spread through heterogeneous population: from lattice to PDE models (2021) (0)
Dissipative Solitary Waves in Periodic Granular Crystals (2008) (0)
On 3+1 Dimensional Friedman-Robertson-Walker Universes with Matter (2003) (0)
Measurement and memory in the periodically driven complex Ginzburg-Landau equation. (2021) (0)
Interactions and scattering of quantum vortices in a polariton fluid (2018) (0)
Averaging for some periodic and random nonlinear Schrödinger models (2007) (0)
Discrete Variants of the $$\phi ^4$$ Model: Exceptional Discretizations, Conservation Laws and Related Topics (2019) (0)
Ju l 2 00 5 Asymptotic Calculation of Discrete Nonlinear Wave Interactions (2005) (0)
F eb 2 00 3 Instabilities and Bifurcations of Nonlinear Impurity Modes (2018) (0)
Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices (2021) (0)
Erratum to: Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping (2013) (0)
Series Mathematics and Statistics 2007 Discrete surface solitons in two dimensions (2017) (0)
The Vortex Spirograph: Dipole Dynamics in Bose-Einstein Condensates (2011) (0)
Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping (2012) (0)
Nonlinear latt ices generated from harmonic latt ices with geometric constraints (2005) (0)
Moving discrete breathers in a β-FPU lattice revisited (2021) (0)
Material for An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices (2018) (0)
Today Granular crystals : Nonlinear dynamics meets materials engineering (2015) (0)
Higher Dimensional Lattices (2018) (0)
Interactions of solitary waves in the Adlam-Allen model. (2021) (0)
Dynamics of Phase Transitions in a Piecewise Linear Diatomic Chain (2011) (0)
Ja n 20 03 Domain Walls in Two-Component Dynamical Lattices (2018) (0)
Introduction and Motivation of Models (2018) (0)
1 Basic Mean-Field Theory for Bose – Einstein Condensates (2007) (0)
Meets Supersymmetry and Nonlinearity : An Analytically Tractable Case Example (2015) (0)
Two-dimensional quantum turbulence in Bose-Einstein condensates (2011) (0)
Filamentary Dynamics of Dark Solitons, Vortex Rings and Knots (2019) (0)
Moving discrete breathers in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1534" altimg="si5.svg"><mml:mi>β</mml:mi></mml:math>-FPU lattice revisited (2022) (0)
Nonlinear Schrödinger Equations with a Four-Well Potential in Two Dimensions: Bifurcations and Stability Analysis (2011) (0)

This paper list is powered by the following services:

Other Resources About Panayotis G. Kevrekidis

en.wikipedia.org

What Schools Are Affiliated With Panayotis G. Kevrekidis?

Panayotis G. Kevrekidis is affiliated with the following schools:

Panayotis G. Kevrekidis's Academic­Influence.com Rankings

Why Is Panayotis G. Kevrekidis Influential?

Panayotis G. Kevrekidis's Published Works

Published Works

Other Resources About Panayotis G. Kevrekidis

What Schools Are Affiliated With Panayotis G. Kevrekidis?

Panayotis G. Kevrekidis's AcademicInfluence.com Rankings