Mark J. Ablowitz

Q: What Schools Are Affiliated With Mark J. Ablowitz

Mark J. Ablowitz is affiliated with the following schools: University of Colorado Boulder, University of California, Berkeley, Clarkson College, Massachusetts Institute of Technology, University of Colorado, Clarkson University, University of Salamanca, University of Rochester

Mark J. Ablowitz's AcademicInfluence.com Rankings

Mark J. Ablowitz

Mathematics

#1229

World Rank

#2058

Historical Rank

#515

USA Rank

Applied Mathematics

#27

World Rank

#31

Historical Rank

#16

USA Rank

Measure Theory

#212

World Rank

#331

Historical Rank

#92

USA Rank

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Mathematics

Mark J. Ablowitz's Degrees

PhD Applied Mathematics University of California, Berkeley
Masters Applied Mathematics University of California, Berkeley

Why Is Mark J. Ablowitz Influential?

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According to Wikipedia, Mark Jay Ablowitz is a professor in the department of Applied Mathematics at the University of Colorado at Boulder, Colorado. He was born in New York City. Education Ablowitz received his Bachelor of Science degree in mechanical engineering from University of Rochester, and completed his Ph.D. in Mathematics under the supervision of David Benney at Massachusetts Institute of Technology in 1971.

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Mark J. Ablowitz'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

Solitons, Nonlinear Evolution Equations and Inverse Scattering (1992) (4712)
The Inverse scattering transform fourier analysis for nonlinear problems (1974) (2563)
Solitons and the Inverse Scattering Transform (1981) (2163)
A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II (1980) (965)
Nonlinear-evolution equations of physical significance (1973) (891)
Nonlinear differential–difference equations and Fourier analysis (1976) (797)
Nonlinear differential−difference equations (1975) (778)
Method for Solving the Sine-Gordon Equation (1973) (728)
Complex Variables: Introduction and Applications (1997) (653)
Integrable nonlocal nonlinear Schrödinger equation. (2013) (567)
Two‐dimensional lumps in nonlinear dispersive systems (1979) (549)
A Nonlinear Difference Scheme and Inverse Scattering (1976) (460)
Nonlinear evolution equations and ordinary differential equations of painlevè type (1978) (457)
On the evolution of packets of water waves (1979) (409)
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation (2016) (391)
Exact Linearization of a Painlevé Transcendent (1977) (356)
Integrable Nonlocal Nonlinear Equations (2016) (348)
Explicit solutions of Fisher's equation for a special wave speed (1979) (328)
Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons (2011) (305)
On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation (1983) (266)
On the inverse scattering transform of multidimensional nonlinear equations related to first‐order systems in the plane (1984) (235)
On the solution of a class of nonlinear partial di erence equations (1977) (225)
Complex Variables: Contents (2003) (221)
On the extension of the Painlevé property to difference equations (2000) (220)
Dispersive and classical shock waves in Bose-Einstein condensates and gas dynamics (2006) (218)
Multiscale pulse dynamics in communication systems with strong dispersion management. (1998) (215)
Perturbations of solitons and solitary waves (1981) (208)
Analytical and numerical aspects of certain nonlinear evolution equations. I. Analytical (1984) (204)
On a unified approach to transformations and elementary solutions of Painlevé equations (1982) (203)
The Periodic Cubic Schrõdinger Equation (1981) (201)
Asymptotic Solutions of the Korteweg-deVries Equation (1977) (194)
On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation (1983) (190)
The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems (1983) (175)
On homoclinic structure and numerically induced chaos for the nonlinear Schro¨dinger equation (1990) (174)
Analytical and Numerical Aspects of Certain Nonlinear Evolution Equations (1984) (171)
Coherent pulse propagation, a dispersive, irreversible phenomenon (1974) (171)
Spectral renormalization method for computing self-localized solutions to nonlinear systems. (2005) (165)
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions (2016) (159)
On the Numerical Solution of the Sine-Gordon Equation (1996) (159)
Discrete diffraction managed spatial solitons. (2001) (159)
Integrable discrete PT symmetric model. (2014) (159)
Nonlinear Evolution Equations-Two and Three Dimensions (1975) (140)
Linearization of the Korteweg-de Vries and Painlevé II Equations (1981) (140)
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions (2017) (135)
Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions (2006) (133)
Multidimensional nonlinear evolution equations and inverse scattering (1986) (126)
On a new non-local formulation of water waves (2006) (126)
Solitary wave collisions (1979) (115)
Unveiling pseudospin and angular momentum in photonic graphene (2014) (113)
Lectures on the Inverse Scattering Transform (1978) (113)
Analytical and numerical aspects of certain nonlinear evolution equations. 1V. numerical modified Korteweg-de Vries equation (1988) (109)
A Multidimensional Inverse-Scattering Method (1984) (105)
Resonantly coupled nonlinear evolution equations (1975) (103)
Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics) (2005) (101)
The Evolution of Multi-Phase Modes for Nonlinear Dispersive Waves (1970) (101)
On the Discrete Spectrum of the Nonstationary Schrödinger Equation and Multipole Lumps of the Kadomtsev–Petviashvili I Equation (1999) (94)
Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions (2007) (92)
Hodograph transformations of linearizable partial differential equations (1989) (91)
On discretizations of the vector nonlinear Schrödinger equation (1998) (90)
Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent (1981) (90)
Conical diffraction in honeycomb lattices (2009) (88)
Linear and nonlinear traveling edge waves in optical honeycomb lattices (2014) (87)
A novel class of solutions of the non-stationary Schrödinger and the Kadomtsev–Petviashvili I equations (2000) (87)
The decay of the continuous spectrum for solutions of the Korteweg‐deVries equation (1973) (86)
Integrable systems and reductions of the self-dual Yang–Mills equations (2003) (84)
A self-dual Yang-Mills hierarchy and its reductions to integrable systems in 1+1 and 2+1 dimensions (1993) (84)
Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations (1997) (81)
Nonlinear shallow ocean-wave soliton interactions on flat beaches. (2012) (80)
Resonant nonlinear intrachannel interactions in strongly dispersion-managed transmission systems. (2000) (78)
Direct and inverse scattering problems of the nonlinear intermediate long wave equation (1982) (76)
Soliton interactions in the vector NLS equation (2004) (76)
A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities (1992) (75)
Topics in soliton theory and exactly solvable nonlinear equations : proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform, Oberwolfach, Germany, July 27-August 2, 1986 (1987) (73)
Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics) (2006) (72)
The inverse scattering transform: Semi‐infinite interval (1975) (72)
On the initial value problem of the second Painlevé Transcendent (1983) (72)
Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions (2018) (72)
On an internal wave equation describing a stratified fluid with finite depth (1979) (70)
Theory of magnetodynamics induced by spin torque in perpendicularly magnetized thin films. (2005) (68)
Method of Solution for a Class of Multidimensional Nonlinear Evolution Equations (1983) (67)
Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation (1994) (62)
Asymptotic solutions and conservation laws for the nonlinear Schrödinger equation. I (1976) (61)
Nonlinear Intermediate Long-Wave Equation: Analysis and Method of Solution (1981) (60)
Multisoliton interactions and wavelength-division multiplexing. (1995) (58)
Forced Nonlinear Evolution Equations and the Inverse Scattering Transform (1989) (57)
Discrete spatial solitons in a diffraction-managed nonlinear waveguide array: a unified approach (2003) (57)
A method of linearization for Painleve´ equations: Painleve´ IV, V (1988) (56)
Inverse Scattering Transform for the Nonlocal Reverse Space–Time Nonlinear Schrödinger Equation (2018) (55)
Long Internal Waves in Fluids of Great Depth (1980) (55)
The inverse scattering transform for multidimensional (2+1) problems (1983) (54)
Nonlinear Waves in Shallow Honeycomb Lattices (2012) (53)
Four-wave mixing in wavelength-division-multiplexed soliton systems: damping and amplification. (1996) (53)
On the solution of the generalized wave and generalized spine-gordon equations (1986) (53)
ON THE INVERSE SCATTERING AND DIRECT LINEARIZING TRANSFORMS FOR THE KADOMTSEV-PETVIASHVILI EQUATION (1983) (52)
Long-time dynamics of the modulational instability of deep water waves (2001) (51)
Nonlinear Dispersive Waves: INTEGRABILITY AND SOLITONS (2011) (51)
Optical solitons: Perspectives and applications. (2000) (50)
Solitons in two-dimensional lattices possessing defects, dislocations, and quasicrystal structures. (2006) (49)
Methods for discrete solitons in nonlinear lattices. (2002) (49)
On the Kadomtsev-Petviashvili Equation and Associated Constraints (1991) (47)
Quasi-linear optical pulses in strongly dispersion-managed transmission systems. (2001) (46)
Nonlinear Evolution Equations—Continuous and Discrete (1977) (46)
Discrete vector spatial solitons in a nonlinear waveguide array. (2002) (46)
Piston dispersive shock wave problem. (2007) (45)
A Rule for Fast Computation and Analysis of Soliton Automata (1988) (44)
The direct linearization of a class of nonlinear evolution equations (1984) (44)
Evolution of Bloch-mode envelopes in two-dimensional generalized honeycomb lattices (2010) (44)
The Generalized Chazy Equation from the Self‐Duality Equations (1999) (43)
A comparison between finite element methods and spectral methods as applied to bound state problems (1980) (42)
Computational chaos in the nonlinear Schrödinger equation without homoclinic crossings (1996) (41)
Semi-Resonant Interactions and Frequency Dividers (1973) (41)
Interacting nonlinear wave envelopes and rogue wave formation in deep water (2014) (38)
Resonant intrachannel pulse interactions in dispersion-managed transmission systems (2002) (38)
Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons (2017) (37)
Nonlinear Schrödinger equations with mean terms in nonresonant multidimensional quadratic materials. (2001) (37)
Higher-order asymptotic analysis of dispersion-managed transmission systems: solutions and their characteristics (2002) (37)
Interaction of simple particles in soliton cellular automata (1989) (36)
Numerical Chaos, Symplectic Integrators, and Exponentially Small Splitting Distances (1993) (36)
The generalized Chazy equation and Schwarzian triangle functions (1998) (34)
Intrachannel pulse interactions in dispersion-managed transmission systems: energy transfer. (2002) (34)
Incomplete collisions of wavelength-division multiplexed dispersion-managed solitons (2001) (34)
On the limit from the intermediate long wave equation to the Benjamin–Ono equation (1984) (33)
Perturbations of dark solitons (2010) (33)
Managing nonlinearity in strongly dispersion-managed optical pulse transmission (2002) (32)
On timing Jitter in wavelength-division multiplexed soliton systems (1998) (32)
On the initial value problem for the KPII equation with data that do not decay along a line (2004) (31)
Dispersive shock waves (2009) (31)
Integrable nonlocal asymptotic reductions of physically significant nonlinear equations (2019) (31)
On solutions of the Korteweg-De Vries equation (1979) (31)
Integrable space-time shifted nonlocal nonlinear equations (2021) (31)
A note on Miura’s transformation (1979) (31)
Soliton generation and multiple phases in dispersive shock and rarefaction wave interaction. (2009) (30)
Integrable systems and modular forms of level 2 (2006) (30)
Numerical simulation of quasi-periodic solutions of the sine-Gordon equation (1995) (30)
Interactions of dispersive shock waves (2007) (30)
On the periodic intermediate long wave equation (1982) (30)
Dark solitons in mode-locked lasers. (2010) (29)
Symplectic methods for the nonlinear Schro¨dinger equation (1994) (29)
Applications of Slowly Varying Nonlinear Dispersive Wave Theories (1971) (29)
Dispersive shock waves in the Kadomtsev–Petviashvili and two dimensional Benjamin–Ono equations (2015) (28)
On Tight‐Binding Approximations in Optical Lattices (2012) (28)
Noise-induced linewidth in frequency combs. (2006) (28)
Collision-induced timing shifts in dispersion-managed soliton systems. (2002) (27)
Dark and gray strong dispersion-managed solitons. (2003) (26)
Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons (2020) (25)
Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation (1991) (25)
The Cauchy Problem for the Kadomtsev–Petviashili II Equation with Nondecaying Data along a Line (2002) (25)
Solitons in dispersion-managed mode-locked lasers (2008) (25)
Intrachannel pulse interactions in dispersion-managed transmission systems: timing shifts. (2001) (24)
Note on Asymptotic Solutions of the Korteweg‐de Vries Equation with Solitons (1982) (24)
Multi-dimensional pulse propagation in non-resonant χ(2) materials (1997) (24)
On integrability and chaos in discrete systems (1998) (23)
Four-wave mixing in wavelength–division-multiplexed soliton systems: ideal fibers (1997) (23)
Forced and semiline solutions of the Burgers equation (1991) (23)
NUMERICAL HOMOCLINIC INSTABILITIES IN The SINE-GORDON EQUATION (1992) (23)
Dynamics of Nonlinear and Dispersion Managed Solitons (2005) (23)
Multidimensional Inverse Scattering for First-Order Systems (1984) (22)
Carrier-envelope phase slip of ultrashort dispersion-managed solitons. (2004) (22)
Wave collapse in a class of nonlocal nonlinear Schrödinger equations (2005) (22)
Solitons and spectral renormalization methods in nonlinear optics (2009) (22)
Discretizations, integrable systems and computation (2001) (22)
Approximate Methods for Obtaining Multi‐Phase Modes in Nonlinear Dispersive Wave Problems (1972) (21)
A reformulation and applications of interfacial fluids with a free surface (2009) (21)
Nonlinear Schrodinger systems: continuous and discrete (2008) (21)
Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem (1985) (21)
Topological insulators in longitudinally driven waveguides: Lieb and kagome lattices (2018) (20)
Whitham modulation theory for the Kadomtsev– Petviashvili equation (2016) (20)
On a Volterra system (1996) (20)
On the Discrete Spectrum of Systems in the Plane and the Davey-Stewartson II Equation (2003) (20)
Vortex and dipole solitons in complex two-dimensional nonlinear lattices (2012) (19)
Solitons in normally dispersive mode-locked lasers (2009) (19)
Localized nonlinear edge states in honeycomb lattices (2013) (19)
Dispersive shock wave interactions and asymptotics. (2013) (19)
Pulse dynamics and solitons in mode-locked lasers (2008) (19)
On the Boundary Conditions of the Davey-Stewartson Equation (1990) (18)
On a Bäcklund transformation and scattering problem for the modified intermediate long wave equation (1984) (18)
Inverse scattering transform for 3-level coupled Maxwell–Bloch equations with inhomogeneous broadening (2014) (18)
On a Burgers-Stefan problem (2000) (18)
Comments on the inverse scattering transform and related nonlinear evolution equations (1983) (18)
Data-dependent timing jitter in wavelength-division-multiplexing soliton systems. (1995) (17)
The direct linearizing transform and the Benjamin-Ono equation (1983) (17)
The Burgers equation under deterministic and stochastic forcing (1996) (17)
Nonlinear Wave Packets in Deformed Honeycomb Lattices (2013) (17)
Interaction effects on wavelength-multiplexed soliton data packets (1993) (17)
Asymptotic Analysis of Pulse Dynamics in Mode‐Locked Lasers (2009) (16)
SPECTRAL FORMULATION OF THE TWO FLUID EULER EQUATIONS WITH A FREE INTERFACE AND LONG WAVE REDUCTIONS (2008) (16)
Strong transmission and reflection of edge modes in bounded photonic graphene. (2015) (15)
Integrable Nonlinear Schrodinger Systems and their Soliton Dynamics (2004) (15)
Band-gap boundaries and fundamental solitons in complex two-dimensional nonlinear lattices (2010) (14)
Transverse instability of breathers in resonant media (1980) (14)
Whitham modulation theory for the two-dimensional Benjamin-Ono equation. (2017) (14)
Solvability of the Direct and Inverse Problems for the Nonlinear Schrödinger Equation (2005) (14)
On the Evolution and Interaction of Dispersion-Managed Solitons (2000) (14)
Nonlinear diffraction in photonic graphene. (2011) (14)
Initial Time Layers and Kadomtsev–Petviashvili‐Type Equations (1997) (14)
Soliton strings and interactions in mode-locked lasers (2009) (14)
Fractional Integrable Nonlinear Soliton Equations. (2022) (13)
On Painlevé and Darboux-Halphen-Type Equations (1999) (13)
Whitham modulation theory for (2 + 1)-dimensional equations of Kadomtsev–Petviashvili type (2017) (13)
Interactions and asymptotics of dispersive shock waves – Korteweg–de Vries equation (2013) (13)
Discrete Vector Solitons: Composite Solitons, Yang–Baxter Maps and Computation (2006) (13)
Note on solutions to a class of nonlinear singular integro-differential equations (1987) (13)
The nonlinear Schro¨dinger equation: asymmetric perturbations traveling waves and chaotic structures (1997) (13)
Rogue waves in birefringent optical fibers: elliptical and isotropic fibers (2017) (13)
Asymptotic expansions for solitary gravity-capillary waves in two and three dimensions (2009) (12)
Incomplete collisions in strongly dispersion-managed return-to-zero communication systems. (2003) (12)
Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues (2018) (12)
Action-angle variables and trace formula for D-bar limit case of Davey-Stewartson I (1989) (12)
Nonlinear effects in quasi-linear dispersion-managed pulse transmission (2001) (12)
On the inverse scattering transform of the 2+1 Toda equation (1993) (12)
Parameterizations of the Chazy Equation (2009) (12)
Dark solitons of the power-energy saturation model: application to mode-locked lasers (2013) (12)
On the initial value problem for a class of nonlinear integral evolution equations including the sine-Hilbert equation (1987) (12)
On the Hamiltonian formalism for the Davey-Stewartson system (1991) (11)
Conservation laws and non-decaying solutions for the Benney–Luke equation (2012) (11)
Rogue waves in nonlocal media. (2016) (11)
Inverse scattering transform for the nonlocal reverse space-time Sine-Gordon, Sinh-Gordon and nonlinear Schrödinger equations with nonzero boundary conditions (2017) (11)
Calculation, characterization, and application of the time shift function in wavelength-division-multiplexed return-to-zero systems. (2005) (11)
Discrete and Continuous Nonlinear Schrödinger Systems: Introduction (2003) (11)
Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices. (2015) (11)
Full length article A comparison between lumped and distributed filter models in wavelength-division multiplexed soliton systems (1999) (10)
On the extension of the Painlevproperty to difference equations (2000) (10)
Solutions of a Burgers–Stefan problem (2000) (9)
Dispersion management for randomly varying optical fibers. (2004) (9)
On the method of solution to the 2+1 Toda equation (1992) (9)
On Reductions of Self-Dual Yang-Mills Equations (1992) (9)
Transverse instability of one-dimensional transparent optical pulses in resonant media (1979) (9)
Adiabatic dynamics of edge waves in photonic graphene (2014) (8)
On a class of nonlocal nonlinear Schrödinger equations and wave collapse (2007) (8)
Resonant non-linear vibrations in continuous systems—I. Undamped case (1979) (8)
INITIAL VALUE PROBLEMS AND SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI EQUATION (2004) (8)
Solutions of an internal wave equation describing a stratified fluid with finite depth (1980) (8)
Nonlinear Schrödinger Equations (2006) (8)
Four-wave mixing in dispersion-managed return-to-zero systems (2003) (8)
Integrable fractional modified Korteweg–deVries, sine-Gordon, and sinh-Gordon equations (2022) (7)
Transverse Instability of Rogue Waves. (2021) (7)
NONLINEAR EVOLUTION EQUATIONS, INVERSE SCATTERING AND CELLULAR AUTOMATA (1990) (7)
Strong Coupling Limit of Certain Multidimensional Nonlinear Wave Equations (1989) (7)
Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices (2013) (7)
Integrability, computation and applications (1995) (7)
Passive mode-locking under higher order effects (2014) (7)
STABLE, MULTI-STATE, TIME-REVERSIBLE CELLULAR AUTOMATA WITH RICH PARTICLE CONTENT (1992) (7)
Asymptotic analysis of collision-induced timing shifts in return-to-zero quasi-linear systems with predispersion and postdispersion compensation. (2006) (7)
HAMILTONIAN INTEGRATORS FOR THE NONLINEAR SCHROEDINGER EQUATION (1994) (7)
On the Whitham system for the radial nonlinear Schrödinger equation (2018) (7)
Analysis of timing and amplitude jitter due to intrachannel dispersion-managed pulse interactions (2002) (7)
Nonlinear Dispersive Waves: The inverse scattering transform for the Korteweg–de Vries (KdV) equation (2011) (7)
Solutions of multidimensional extensions of the anti-self-dual Yang-Mills equation (1987) (6)
Solitons and symmetries (1999) (6)
Reduction of collision-induced timing shifts in dispersion-managed quasi-linear systems with periodic-group-delay dispersion compensation. (2004) (6)
Localized multi-dimensional optical pulses in non-resonant quadratic materials (2001) (6)
Suppression of intrachannel dispersion-managed pulse interactions by distributed amplification (2002) (6)
Resonant non-linear vibrations of continuous systems—II Damped and transient behavior (1979) (6)
On a “Quasi” Integrable Discrete Eckhaus Equation (2005) (5)
1. The Inverse Scattering Transform on the Infinite Interval (1981) (5)
Damping of Periodic Waves in Physically Significant Wave Systems (2008) (5)
On the existence of real spectra in PT?>-symmetric honeycomb optical lattices (2014) (5)
Nonlinear temporal–spatial surface plasmon polaritons (2014) (5)
Remarks on nonlinear evolution equations and ordinary differential equations of Painlevé type (1981) (5)
Constructive and destructive perturbations of dark solitons in mode-locked lasers (2015) (5)
Coupled nonlinear Schrödinger equations for interfacial fluids with a free surface (2009) (5)
Solitons and topological waves (2020) (5)
Complex Variables: Preface (2003) (5)
Solutions to the 2+1 Toda equation (1994) (5)
Resonant intra-channel four-wave mixing in strongly dispersion-managed transmission systems (2001) (5)
The Darboux-Halphen System and the Singularity Structure of its Solutions (2000) (5)
On numerical chaos in the nonlinear Schrödinger equation (1989) (4)
Timing and amplitude jitter due to intra-channel dispersion-managed pulse interactions (2002) (4)
A Universal Asymptotic Regime in the Hyperbolic Nonlinear Schrödinger Equation (2016) (4)
Homoclinic manifolds and numerical chaos in the nonlinear Schro¨dinger equation (1994) (4)
Wave dynamics in optically modulated waveguide arrays. (2005) (4)
Whitham equations and phase shifts for the Korteweg–de Vries equation (2020) (4)
Parametric forcing, bound states and solutions of a nonlinear Schrodinger type equation (1994) (4)
Nonlinear Evolution Equations and Inverse Scattering in Multidimensions(Development of Soliton Theory) (1985) (4)
On the well-posedness of the Eckhaus equation (1997) (4)
Dynamics of semi-discretizations of the defocusing nonlinear Schrödinger equation (1991) (4)
Unified Orbital Description of the Envelope Dynamics in Two‐Dimensional Simple Periodic Lattices (2013) (4)
On the evolution of perturbations to solutions of the Kadomtsev–Petviashvilli equation using the Benney–Luke equation (2011) (3)
Addenda and Corrigenda to “On the Solution of the Generalized Wave and Generalized Sine-Gordon Equations” (1987) (3)
On the numerics of integrable discretizations (1996) (3)
Commutation properties of 2-parameter groups of Isometrles On the irreducible representations of groups containing a subgroup of finite index (1980) (3)
Discrete approximation of topologically protected modes in magneto-optical media (2020) (3)
Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics (2022) (3)
A Note on Resonance and Nonlinear Dispersive Waves (1975) (3)
Direct linearizations of the Korteweg‐deVries equations (1982) (3)
Fractional integrable and related discrete nonlinear Schrödinger equations (2022) (3)
Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators. (2021) (3)
On a two-phase free boundary problem (2003) (3)
A Method of Solution for Painleve Equations: Painleve IV, V, (1987) (3)
RAPIDLY FORCED BURGERS EQUATION (1993) (2)
Techniques for detecting densely wavelength-multiplexed solitons (1993) (2)
Forced Initial Boundary Value Problems for Burgers Equation (1991) (2)
Lie-Bäcklund Transformations in Applications (Robert L. Anderson and Nail H. Ibragimov) (1980) (2)
Integrable nonlocal derivative nonlinear Schrödinger equations (2022) (2)
On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation (2021) (2)
Quasilinear optical pulses in strongly dispersionmanaged transmission systems (2001) (2)
Nonlinear waves in optical media (2010) (2)
nverse scattering transform for the vector nonlinear chrödinger equation with nonvanishing boundary onditions (2006) (2)
A direct linearization associated with the Benjamin‐Ono equation (1982) (2)
Direct observation of “pseudospin”-mediated vortex generation in photonic graphene (2014) (2)
Two-dimensional solitons in irregular lattice systems (2007) (2)
On the method of solution of the differential-delay Toda equation (1993) (2)
Discrete and Continuous Nonlinear Schrödinger Systems: Nonlinear Schrödinger equation (NLS) (2003) (2)
Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators (2022) (2)
On the Ist for Discrete Nonlinear SCHRÖDINGER Systems and Polarization Shift for Discrete Vector Solitons (2003) (2)
Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices (2015) (1)
Solitons, solutions of nonlinear evolution equations, and the inverse scattering transform (1980) (1)
Beyond Substance and Process : A New Framework for Emergence (1994) (1)
Unified approach to Floquet lattices, topological insulators, and their nonlinear dynamics (2022) (1)
Ist Numerical Schemes for Nonlinear Evolution Equations of Physical Interest (1987) (1)
Research Contributions of David J. Benney (2002) (1)
Introduction to Complex Variables and Applications (2021) (1)
Nonlinear Dispersive Waves (2011) (1)
Symmetries and Integrability of Difference Equations: New solutions of nonstationary Schrödinger and Kadomtsev-Petviashvili equations (1999) (1)
Complex Variables: Residue Calculus and Applications of Contour Integration (2003) (1)
Nonlinear wave dynamics: From lasers to fluids (2010) (1)
NEVANLINNA THEORY AND DIFFERENCE EQUATIONS OF PAINLEV ´ E TYPE (1999) (1)
Six wave interaction equations in finite-depth gravity waves with surface tension (2023) (1)
Bilinear Transformation Method (Yoshimasa Matsuno) (1986) (1)
Integrability and Nonlinear Waves (2020) (1)
Nonlinear Wave Propagation (1983) (1)
Davey-Stewartson I - A Quantum 2+1 Dimensional Integrable System, (1987) (1)
Nonlinear Evolution Equations, Solitons, Chaos and Cellular Automata (1990) (1)
Quantum-Noise Limit on the Linewidth of Frequency Combs (2007) (1)
Nonlinear Waves and Inverse Scattering (1990) (1)
Nonlinear Dispersive Waves: Linear and nonlinear wave equations (2011) (1)
Multidimensional Solitons in Irregular-Lattice Media (2007) (1)
Painlevé equations and the inverse scattering and inverse monodromy transforms (1990) (1)
Multidimensional optical pulses in non-resonant quadratic materials (1998) (1)
Erratum: Reductions of self-dual Yang-Mills fields and classical systems [Phys. Rev. Lett. 65, 1085 (1990)] (1990) (1)
Solitons and Computation (1993) (1)
The Painlevé Analysis and Solutions with Critical Points (1)
Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering (1986) (1)
Chaotic dynamics of modulational instability in optical fibers (2005) (1)
Rogue waves in birefringent optical fibers (2016) (0)
Nonlinear Dispersive Waves: Perturbation analysis (2011) (0)
9 81 00 20 v 1 2 9 O ct 1 99 8 On Integrability and Chaos in Discrete Systems (1998) (0)
Nonlinear Waves in Optics and Fluid Dynamics (2009) (0)
On the initial value problem for a class of nonlinear integral evolution equations generated through a Riemann-Hilbert spectral problem (1987) (0)
3. Other Perspectives (1981) (0)
Collisions Between Discrete Vector Solitons (2002) (0)
REMARKS ON NONLINEAR EVOLUTION EQUATIONS AND THE INVERSE SCATTERING TRANSFORM (1981) (0)
Preface: Special Issues in Memory of David Benney (Part II) (2017) (0)
Complex Variables: Bibliography (2003) (0)
Complex Variables: Complex Numbers and Elementary Functions (2003) (0)
Complex Variables: Answers to Odd-Numbered Exercises (2003) (0)
Complex Variables: Riemann–Hilbert Problems (2003) (0)
On the Scattering of Multipole Lumps for the Kadomtsev-Petviashvili Equation (2002) (0)
WAVE PHENOMENA IV: Waves in Fluids from the Microscopic to the Planetary Scale (2010) (0)
Dispersive Shock Wave Collisions in Bose-Einstein Condensates and Light (2007) (0)
Nonlinear Dispersive Waves: Nonlinear Schrödinger models in nonlinear optics (2011) (0)
Collision-induced timing jitter in dispersion-managed soliton systems (1998) (0)
Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion (2012) (0)
Nonlinear Dispersive Waves: Nonlinear Schrödinger models and water waves (2011) (0)
Quasi-linear Optical Pulses in Dispersion Managed Fibers: Propagation and Interaction (2002) (0)
481 Geometric quantization and UIR's of semisimple Lie groups. II. Discrete series 484 Geometric quantization and UIR's of semisimple Lie groups. III. Principal and supplementary series (1982) (0)
Complex Variables: Sequences, Series, and Singularities of Complex Functions (2003) (0)
Theoretical and Experimental Dynamics of Nonlinear and Dispersion Managed Solitons in an Ultrashort Pulsed Laser (2005) (0)
Nonlinear waves. Technical report (1989) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: Scattering theory for the discrete Schrödinger equation (2003) (0)
Nonlinear Waves and (Interesting) Applications (2003) (0)
Dispersive shock waves: an analytic approach through the Inverse Scattering Transform (2008) (0)
Nonlocal Reformulations of Water and Internal Waves and Asymptotic Reductions (2009) (0)
Whithammodulation theory for the Kadomtsev– Petviashvili equation (2017) (0)
Four-wave mixing in strong dispersion-managed WDM soliton systems (2000) (0)
Complex Variables: Applications of Complex Function Theory (2003) (0)
Nonlinear waves, solitons and IST (1997) (0)
Nonlinear Waves (Sidney Leibovich and A. Richard Seebass) (1977) (0)
Nonlinear problems in fluid dynamics and inverse scattering: Nonlinear waves and inverse scattering (1994) (0)
Reduction of collision-induced timing jitter via periodic-group-delay dispersion-compensating modules in quasi-linear return-to-zero systems (2004) (0)
Quasi-continuum approximations to latticeequations (2017) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: Bibliography (2003) (0)
Publisher's Note: Solitons in two-dimensional lattices possessing defects, dislocations, and quasicrystal structures [Phys. Rev. E74, 035601 (2006)] (2006) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: Matrix nonlinear Schrödinger equation (MNLS) (2003) (0)
Ratchet-like motion of ac driven topological solitons (2003) (0)
Book Review: Introduction to multidimensional integrable equations (1994) (0)
Abstract booklet for Nonlinear Physics: Theory and Experiment. V (2004) (0)
Nonlinear Dispersive Waves: Communications (2011) (0)
Nonlinear Dispersive Waves: Preface (2011) (0)
Nonlinear Dispersive Waves: Introduction (2011) (0)
Nonlinear Waves, Optical Soliton Propagation and Computation. (1997) (0)
Traffic, and Granular Dynamics. Edited by (2016) (0)
Tight-binding equations for longitudinally driven waveguides: Lieb and Kagome lattices (2018) (0)
Topics Associated with Nonlinear Evolution Equations and Inverse Scattering in Multidimensions (1988) (0)
Elements of Soliton Theory; Solitons: Mathematical Methods for Physicists; and Solitons and the Inverse Scattering Transform (1982) (0)
Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion (2012) (0)
Mode-locked lasers (2011) (0)
Nonlinear Problems in Fluid Dynamics and Inverse Scattering - Inverse Scattering and Nonlinear Waves. (1994) (0)
2 The nonlocal nonlinear Schrödinger equation : Linear pair and compatibility condition (2015) (0)
DISCRETE SCALAR AND VECTOR DIFFRACTION-MANAGED NONLINEAR SCHRÖDINGER EQUATION (2003) (0)
CONSTRUCTION OF SOLUTIONS FOR THE GENERALIZED HÉNON–HEILES SYSTEM WITH THE HELP OF THE PAINLEVÉ TEST (2021) (0)
Complex Variables: Analytic Functions and Integration (2003) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: Integrable discrete matrix NLS equation (IDMNLS) (2003) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: Summation by parts formula (2003) (0)
Nonlinear Feedback Shift Registers via Nonlinear Evolution (2001) (0)
Multiple-scale derivation of the nonlinear Schrödinger equation for solitons in magnetic thin films (abstract) (1997) (0)
SOLITARY WAVES FROM OPTICS TO FLUID DYNAMICS (2007) (0)
Numerical Stochasticity, Hamiltonian Integrators, and the Nonlinear Schrödinger Equation a (1995) (0)
Nonlinear Ocean-Wave Interactions on Flat Beaches (2013) (0)
646 BOOK REVIEWS (0)
Inverse Scattering Transform for the Nonlocal Reverse Space–Time Nonlinear Schrödinger Equation (2018) (0)
Integrable Nonlocal PT Symmetric and Reverse Space-Time Nonlinear Schrödinger Equations (2018) (0)
Water waves: analysis and ocean observations (2013) (0)
Periodic-Group-Delay Dispersion Compensation Reduces Collision-Induced Timing Shifts in Dispersion-Managed Quasilinear Systems (2005) (0)
Nonlinear Partial Differential Equations in Physical Problems (D. Graffi) (1984) (0)
Nonlinear Dispersive Waves: Solitons and integrable equations (2011) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: NLS systems in the limit of large amplitudes (2003) (0)
Proceedings of the Workshop Nonlinear Physics : theory and experiment. II : Università di Lecce - Consortium Einstein : 27 June - 6 July 2002, Gallipoli, Italy (2003) (0)
Symmetry Plus Integrability 2010 (2011) (0)
Remarks on the inverse scattering transform associated with toda equations (1994) (0)
Complex Variables: Asymptotic Evaluation of Integrals (2003) (0)
Coupled Maxwell-Bloch equations with inhomogeneous broadening for a 3-level system (2003) (0)
Complex Variables: Fundamentals and Techniques of Complex Function Theory (2003) (0)
2. IST in Other Settings (1981) (0)
Nonlinear Dispersive Waves: References (2011) (0)
Complex Variables: Conformal Mappings and Applications (2003) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: Transmission of the Jost function through a localized potential (2003) (0)
CHAOS IN NUMERICS (1996) (0)
On the Elliptic 2 + 1 Toda Equation (1993) (0)
Nonlinear Dispersive Waves: Water waves and KdV-type equations (2011) (0)
Preface: Special Issues in Memory of David Benney (Part I) (2017) (0)
Dispersive Hydrodynamics : the Mathematics of Dispersive Shock Waves and Applications (2015) (0)
Multi-Gb/s Computer Interconnect Using Optical Solitons. (1995) (0)
Nonlinear waves and the Inverse Scattering Transform (2023) (0)
Theory of carrier-envelope phase slip for ultrashort dispersion managed solitons (2004) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: Integrable discrete nonlinear Schrödinger equation (IDNLS) (2003) (0)
Spectral collapse of wavelength-division multiplexed dispersion-managed solitons (2000) (0)
Nonlinear Dispersive Waves: Asymptotic analysis of wave equations: Properties and analysis of Fourier-type integrals (2011) (0)
Discrete and Continuous Nonlinear Schrödinger Systems: Nonlinear Schrödinger systems with a potential term (2003) (0)
SOLITONS, NUMERICAL CHAOS AND CELLULAR AUTOMATA (1990) (0)

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