B. O. Tian
#115,813
Most Influential Person Now
B. O. Tian's AcademicInfluence.com Rankings
B. O. Tianmathematics Degrees
Mathematics
#5648
World Rank
#7937
Historical Rank
Applied Mathematics
#160
World Rank
#177
Historical Rank
Measure Theory
#866
World Rank
#1139
Historical Rank
Download Badge
Physics Mathematics
Why Is B. O. Tian Influential?
(Suggest an Edit or Addition)B. O. Tian'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
- Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation (2005) (176)
- Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: Variable-coefficient bilinear form, Bäcklund transformation, brightons and symbolic computation (2007) (175)
- Symbolic-computation study of the perturbed nonlinear Schrodinger model in inhomogeneous optical fibers [rapid communication] (2005) (172)
- Transformations for a generalized variable-coefficient nonlinear Schrödinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation (2005) (166)
- Transformations for a generalized variable-coefficient Korteweg de Vries model from blood vessels, Bose Einstein condensates, rods and positons with symbolic computation (2006) (165)
- Cosmic dust-ion-acoustic waves, spherical modified Kadomtsev-Petviashvili model, and symbolic computation (2006) (164)
- On the non-planar dust-ion-acoustic waves in cosmic dusty plasmas with transverse perturbations (2007) (157)
- Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: New transformation with burstons, brightons and symbolic computation (2006) (153)
- Spherical nebulons and Bäcklund transformation for a space or laboratory un-magnetized dusty plasma with symbolic computation (2005) (151)
- Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas (2007) (151)
- Cylindrical Kadomtsev–Petviashvili model, nebulons and symbolic computation for cosmic dust ion-acoustic waves (2006) (151)
- Cylindrical nebulons, symbolic computation and Bäcklund transformation for the cosmic dust acoustic waves (2005) (145)
- Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics (2001) (141)
- (3+1)-dimensional generalized Johnson model for cosmic dust-ion-acoustic nebulons with symbolic computation (2006) (136)
- Reply to: “Comment on: ‘Spherical Kadomtsev–Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520] (2007) (135)
- On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation (2005) (130)
- Comment on ``Exact solutions of cylindrical and spherical dust ion acoustic waves'' [Phys. Plasmas 10, 4162 (2003)] (2005) (127)
- Lump, mixed lump-stripe and rogue wave-stripe solutions of a (3+1)-dimensional nonlinear wave equation for a liquid with gas bubbles (2020) (120)
- Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves (2021) (115)
- Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications (2007) (105)
- Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma (2020) (97)
- Vector bright solitons and their interactions of the couple Fokas–Lenells system in a birefringent optical fiber (2020) (92)
- Mixed lump-kink and rogue wave-kink solutions for a (3 + 1) -dimensional B-type Kadomtsev-Petviashvili equation in fluid mechanics (2018) (88)
- Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional Davey-Stewartson system on surface waves of finite depth (2018) (86)
- Soliton interaction in the higher-order nonlinear Schrödinger equation investigated with Hirota's bilinear method. (2008) (84)
- Generalized tanh method with symbolic computation and generalized shallow water wave equation (1997) (83)
- Dynamics of Alfvén solitons in inhomogeneous plasmas (2008) (83)
- Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation (2009) (82)
- Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber (2018) (82)
- Types of solutions of the variable-coefficient nonlinear Schrödinger equation with symbolic computation. (2008) (81)
- Solitons for the (2+1)-dimensional Konopelchenko–Dubrovsky equations (2018) (80)
- Solitary wave pulses in optical fibers with normal dispersion and higher-order effects (2009) (80)
- Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications (2008) (79)
- Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber (2020) (78)
- Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber (2021) (76)
- Lax pair, Bäcklund transformation and N-soliton-like solution for a variable-coefficient Gardner equation from nonlinear lattice, plasma physics and ocean dynamics with symbolic computation (2007) (71)
- Optical soliton solutions for two coupled nonlinear Schrödinger systems via Darboux transformation (2007) (71)
- Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system (2019) (69)
- Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations (2009) (67)
- Lie group analysis, analytic solutions and conservation laws of the (3 + 1)-dimensional Zakharov-Kuznetsov-Burgers equation in a collisionless magnetized electron-positron-ion plasma (2018) (64)
- Vector bright soliton behaviors associated with negative coherent coupling. (2012) (63)
- Mixed lump-stripe, bright rogue wave-stripe, dark rogue wave-stripe and dark rogue wave solutions of a generalized Kadomtsev–Petviashvili equation in fluid mechanics (2019) (61)
- Generalized Darboux Transformations, Rogue Waves, and Modulation Instability for the Coherently Coupled Nonlinear Schrödinger Equations in Nonlinear Optics (2019) (61)
- Soliton solutions and chaotic motions of the Zakharov equations for the Langmuir wave in the plasma (2015) (61)
- Rogue waves and solitons of the coherently-coupled nonlinear Schrödinger equations with the positive coherent coupling (2018) (61)
- Dark breather waves, dark lump waves and lump wave-soliton interactions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid (2019) (60)
- Solitons, Bäcklund transformation, and Lax pair for the "2 +1…-dimensional Boiti-Leon-Pempinelli equation for the water waves (2010) (60)
- Integrability of an N-coupled nonlinear Schrödinger system for polarized optical waves in an isotropic medium via symbolic computation. (2008) (59)
- Beyond travelling waves: a new algorithm for solving nonlinear evolution equations (1996) (56)
- Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function (2010) (55)
- Comment on “Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system” (2021) (55)
- Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication (2018) (53)
- Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose–Einstein condensates (2008) (52)
- Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2$$+$$1)-dimensional generalized Burgers system with the variable coefficients in a fluid (2022) (51)
- Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber (2020) (50)
- Dark-bright solitons and semirational rogue waves for the coupled Sasa-Satsuma equations. (2018) (50)
- Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers: Soliton interaction and soliton control (2010) (50)
- Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid (2017) (50)
- Generalized (2+1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms (2012) (50)
- Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers: Soliton interaction and soliton control (2010) (50)
- Dark and antidark solitons in the modified nonlinear Schrödinger equation accounting for the self-steepening effect. (2010) (49)
- Dark solitons interaction for a (2+1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain (2016) (49)
- Lump, lumpoff and rogue waves for a (2 + 1)-dimensional reduced Yu-Toda-Sasa-Fukuyama equation in a lattice or liquid (2019) (49)
- Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations (1995) (49)
- Interactions of bright solitons for the (2+1)-dimensional coupled nonlinear Schrödinger equations from optical fibres with symbolic computation (2007) (48)
- Breathers and rogue waves of the fifth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain (2015) (48)
- Soliton interactions and complexes for coupled nonlinear Schrödinger equations. (2012) (48)
- Optical rogue waves associated with the negative coherent coupling in an isotropic medium. (2015) (48)
- Darboux transformation and soliton solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics (2012) (48)
- Lax pair and Darboux transformation for multi-component modified Korteweg–de Vries equations (2008) (48)
- New family of overturning soliton solutions for a typical breaking soliton equation (1995) (47)
- Chaotic breathers and breather fission/fusion for a vector nonlinear Schrödinger equation in a birefringent optical fiber or wavelength division multiplexed system (2020) (47)
- Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics (2018) (46)
- Analytic study on a (2+1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism (2016) (45)
- Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one Tau-function (2012) (45)
- Dynamic behaviors and soliton solutions of the modified Zakharov-Kuznetsov equation in the electrical transmission line (2014) (43)
- Multi-Soliton Solutions and Their Interactions for the (2+1)-DIMENSIONAL Sawada-Kotera Model with Truncated PAINLEVÉ Expansion, Hirota Bilinear Method and Symbolic Computation (2009) (43)
- Novel behavior and properties for the nonlinear pulse propagation in optical fibers (2012) (43)
- Soliton solutions and chaotic motion of the extended Zakharov-Kuznetsov equations in a magnetized two-ion-temperature dusty plasma (2014) (43)
- Bright N-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers (2010) (42)
- Dynamic behavior of the quantum Zakharov-Kuznetsov equations in dense quantum magnetoplasmas (2014) (42)
- Dynamic behaviors for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a non-Kerr medium (2017) (42)
- Multi-soliton solutions and a Bäcklund transformation for a generalized variable-coefficient higher-order nonlinear Schrödinger equation with symbolic computation (2008) (41)
- Solitonic fusion and fission for a (3 + 1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves (2021) (41)
- Solitons and rouge waves for a generalized (3+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics (2016) (41)
- Certain bright soliton interactions of the Sasa-Satsuma equation in a monomode optical fiber. (2017) (39)
- Integrable aspects and applications of a generalized inhomogeneous N-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation (2008) (38)
- Symmetry Reductions, Group‐Invariant Solutions, and Conservation Laws of a (2+1)‐Dimensional Nonlinear Schrödinger Equation in a Heisenberg Ferromagnetic Spin Chain (2019) (38)
- Bäcklund transformations and soliton solutions for a $$(3+1)$$(3+1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics (2015) (38)
- New families of exact solutions to the integrable dispersive long wave equations in 2+1-dimensional spaces (1996) (37)
- Symbolic-computation construction of transformations for a more generalized nonlinear Schrödinger equation with applications in inhomogeneous plasmas, optical fibers, viscous fluids and Bose-Einstein condensates (2007) (37)
- Symbolic computation on soliton solutions for variable-coefficient nonlinear Schrödinger equation in nonlinear optics (2012) (37)
- Integrability and soliton-like solutions for the coupled higher-order nonlinear Schrödinger equations with variable coefficients in inhomogeneous optical fibers (2014) (37)
- Variable-coefficient balancing-act method and variable-coefficient KdV equation from fluid dynamics and plasma physics (2001) (36)
- Integrability aspects with optical solitons of a generalized variable-coefficient N-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers (2010) (36)
- Bäcklund transformations, kink soliton, breather- and travelling-wave solutions for a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics (2021) (35)
- Conservation laws, bilinear forms and solitons for a fifth-order nonlinear Schrödinger equation for the attosecond pulses in an optical fiber (2015) (35)
- Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time-dependent coefficients (2022) (35)
- Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearity (2015) (35)
- Soliton-like solutions of a generalized variable-coefficient higher order nonlinear Schrödinger equation from inhomogeneous optical fibers with symbolic computation (2007) (35)
- Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized (2 + 1)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics (2021) (35)
- Dark–dark solitons for the coupled spatially modulated Gross–Pitaevskii system in the Bose–Einstein condensation (2020) (35)
- Rogue-wave solutions for the Kundu–Eckhaus equation with variable coefficients in an optical fiber (2015) (34)
- On a generalized Kadomtsev–Petviashvili equation with variable coefficients via symbolic computation (2007) (34)
- Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves (2011) (34)
- Ablowitz–Kaup–Newell–Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg–de Vries equation in plasma physics, fluid dynamics or atmospheric science (2020) (34)
- Wronskian and Grammian solutions for a (2+1) - dimensional Date-Jimbo-Kashiwara-Miwa equation (2017) (33)
- Symbolic computation on generalized Hopf–Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics (2007) (33)
- Soliton solutions and interactions of the Zakharov-Kuznetsov equation in the electron-positron-ion plasmas (2011) (32)
- Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended (3+1)-dimensional nonlinear Schrödinger equation in an optical fiber (2022) (32)
- Lump wave-soliton and rogue wave-soliton interactions for a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation in a fluid (2018) (32)
- Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids (2017) (32)
- Dark soliton collisions for a fourth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous Heisenberg ferromagnetic spin chain or alpha helical protein (2016) (31)
- An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation (2010) (31)
- Soliton Solutions for a Generalized Inhomogeneous Variable‐Coefficient Hirota Equation with Symbolic Computation (2010) (31)
- Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers (2010) (31)
- Soliton dynamics of a discrete integrable Ablowitz-Ladik equation for some electrical and optical systems (2014) (30)
- Analytic study on solitons in gas-filled hollow-core photonic crystal fibers (2012) (30)
- Soliton fusion and fission in a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids (2017) (30)
- Ion-acoustic shocks in space and laboratory dusty plasmas: Two-dimensional and non-traveling-wave observable effects (2001) (30)
- Conservation laws, bilinear Bäcklund transformations and solitons for a nonautonomous nonlinear Schrödinger equation with external potentials (2016) (30)
- Solitons, bilinear Bäcklund transformations and conservation laws for a -dimensional Bogoyavlenskii-Kadontsev-Petviashili equation in a fluid, plasma or ferromagnetic thin film (2017) (30)
- New extension of the tanh-function method and application to the Whitham-Broer-Kaup shallow water model with symbolic computation (2007) (30)
- Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber (2022) (29)
- Bilinear forms, N-soliton solutions and soliton interactions for a fourth-order dispersive nonlinear Schrödinger equation in condensed-matter physics and biophysics (2013) (29)
- Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation (2006) (29)
- Symbolic computation on integrable properties of a variable-coefficient Korteweg–de Vries equation from arterial mechanics and Bose–Einstein condensates (2007) (28)
- Double-Wronskian solitons and rogue waves for the inhomogeneous nonlinear Schrödinger equation in an inhomogeneous plasma (2014) (28)
- Rogue waves and lump solitons for a -dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics (2018) (28)
- Binary Darboux transformation and vector-soliton-pair interactions with the negatively coherent coupling in a weakly birefringent fiber (2019) (27)
- Solitons and bilinear Bäcklund transformations for a (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a liquid or lattice (2016) (27)
- Rogue waves and lump solutions for a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation in fluid mechanics (2017) (27)
- Soliton resonance of the (2+1)-dimensional Boussinesq equation for gravity water waves (2008) (26)
- Soliton solutions for the reduced Maxwell–Bloch system in nonlinear optics via the N-fold Darboux transformation (2012) (26)
- Vector bright soliton behaviors of the coupled higher-order nonlinear Schrödinger system in the birefringent or two-mode fiber. (2017) (26)
- Dromion-like structures in the variable coefficient nonlinear Schrödinger equation (2014) (25)
- Vector multi-rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations in an alpha helical protein (2019) (25)
- Darboux transformation and soliton solutions for the (2+1)-dimensional nonlinear Schrödinger hierarchy with symbolic computation (2009) (25)
- Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg–de Vries equation in a fluid (2021) (24)
- Darboux transformation and new solutions for the Whitham–Broer–Kaup equations (2008) (24)
- Elastic and inelastic interactions between optical spatial solitons in nonlinear optics (2013) (24)
- Lax pair, conservation laws and N-soliton solutions for the extended Korteweg-de Vries equations in fluids (2011) (24)
- ON THE GENERALIZED TANH METHOD FOR THE (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION (1995) (23)
- Dark and anti-dark vector solitons of the coupled modified nonlinear Schrödinger equations from the birefringent optical fibers (2010) (23)
- Optical breathers and rogue waves via the modulation instability for a higher-order generalized nonlinear Schrödinger equation in an optical fiber transmission system (2019) (23)
- Integrability aspects and soliton solutions for an inhomogeneous nonlinear system with symbolic computation (2012) (23)
- Reduction and analytic solutions of a variable-coefficient Korteweg–de Vries equation in a fluid, crystal or plasma (2020) (23)
- Conservation laws and breather-to-soliton transition for a variable-coefficient modified Hirota equation in an inhomogeneous optical fiber (2021) (23)
- Lax pair, Darboux transformation, breathers and rogue waves of an NNN -coupled nonautonomous nonlinear Schrödinger system for an optical fiber or a plasma (2021) (23)
- A variable-coefficient unstable nonlinear Schrödinger model for the electron beam plasmas and Rayleigh–Taylor instability in nonuniform plasmas: Solutions and observable effects (2003) (23)
- Bilinear form, bilinear auto-Bäcklund transformation, breather and lump solutions for a (3$$+$$1)-dimensional generalised Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid or a lattice (2021) (23)
- Auto-Bäcklund transformations, bilinear forms, multiple-soliton, quasi-soliton and hybrid solutions of a (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in an electron-positron plasma (2022) (22)
- Symbolic computation in engineering: Application to a breaking soliton equation (1997) (22)
- Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma (2021) (22)
- Auto-Bäcklund transformation and two families of analytical solutions to the (2 + 1)-dimensional soliton breaking equation (1996) (22)
- Variable-coefficient unstable nonlinear Schrödinger equation modeling electron beam plasma: Auto-Bäcklund transformation, soliton-typed and other analytical solutions (2001) (22)
- Solitons, Lax pair and infinitely-many conservation laws for a higher-order nonlinear Schrödinger equation in an optical fiber (2017) (22)
- Painlevé integrability and N-soliton solution for the variable-coefficient Zakharov–Kuznetsov equation from plasmas (2010) (21)
- Bilinear Bäcklund transformation, soliton and breather solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid dynamics and plasma physics (2021) (21)
- Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves (2002) (21)
- Solitary wave and multi-front wave collisions for the Bogoyavlenskii–Kadomtsev–Petviashili equation in physics, biology and electrical networks (2015) (21)
- Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre (2021) (21)
- Bäcklund transformations, Lax pair and solutions of a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves (2021) (21)
- Multi-soliton interaction of a generalized Schrödinger-Boussinesq system in a magnetized plasma (2017) (21)
- Bright and dark solitons for a discrete (2+1)-dimensional Ablowitz-Ladik equation for the nonlinear optics and Bose-Einstein condensation (2017) (21)
- Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics (2020) (21)
- Integrability study on a generalized (2+1)-dimensional variable-coefficient Gardner model with symbolic computation. (2010) (21)
- Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics (2020) (21)
- Observable Solitonic Features of the Generalized Reaction Duffing Model (2002) (20)
- Dust ion-acoustic rogue waves in a three-species ultracold quantum dusty plasmas (2014) (20)
- Lax pair, binary Darboux transformation and dark solitons for the three-component Gross–Pitaevskii system in the spinor Bose–Einstein condensate (2020) (20)
- Bright optical solitons or light bullets for a (3 + 1)-dimensional generalized nonlinear Schrödinger equation with the distributed coefficients (2016) (20)
- Symbolic-computation study of integrable properties for the (2+1)-dimensional Gardner equation with the two-singular-manifold method (2007) (20)
- In nonlinear optics, fluid dynamics and plasma physics: symbolic computation on a (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff system (2021) (20)
- Breather-wave, periodic-wave and traveling-wave solutions for a (2 + 1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation for an incompressible fluid (2021) (20)
- Vector breathers with the negatively coherent coupling in a weakly birefringent fiber (2019) (20)
- Breather and double-pole solutions of the derivative nonlinear Schrödinger equation from optical fibers (2011) (20)
- Darboux transformation and soliton solutions for the generalized coupled variable-coefficient nonlinear Schrödinger-Maxwell-Bloch system with symbolic computation (2012) (20)
- Dynamics of the Zakharov-Kuznetsov-Burgers equations in dusty plasmas (2013) (20)
- Solitons and their collisions in the spinor Bose–Einstein condensates (2012) (20)
- Higher-charge vortex solitons and vector vortex solitons in strongly nonlocal media. (2019) (20)
- Bell-polynomial approach and soliton solutions for the Zhiber–Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation (2012) (20)
- In an inhomogeneous multicomponent optical fiber: Lax pair, generalized Darboux transformation and vector breathers for a three-coupled variable-coefficient nonlinear Schrödinger system (2021) (19)
- Rogue-wave solutions for a discrete Ablowitz–Ladik equation with variable coefficients for an electrical lattice (2018) (19)
- Vector rational and semi-rational rogue waves for the coupled cubic-quintic nonlinear Schrödinger system in a non-Kerr medium (2020) (19)
- Soliton excitations and interactions for the three-coupled fourth-order nonlinear Schrödinger equations in the alpha helical proteins (2015) (19)
- Darboux-dressing transformation, semi-rational solutions, breathers and modulation instability for the cubic-quintic nonlinear Schrödinger system with variable coefficients in a non-Kerr medium, twin-core nonlinear optical fiber or waveguide (2020) (19)
- Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix (2021) (19)
- Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation (2007) (19)
- Bright hump solitons for the higher-order nonlinear Schrödinger equation in optical fibers (2013) (18)
- Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation (2000) (18)
- Soliton solutions via auxiliary function method for a coherently-coupled model in the optical fiber communications (2013) (18)
- Bilinear auto-Bäcklund transformation, soliton and periodic-wave solutions for a (2+1)-dimensional generalized Kadomtsev–Petviashvili system in fluid mechanics and plasma physics (2021) (18)
- Dark solitons and Bäcklund transformation for the (2+1)-dimensional coupled nonlinear Schrödinger equation with the variable coefficients in a graded-index waveguide (2017) (17)
- Symbolic computation on the bright soliton solutions for the generalized coupled nonlinear Schrödinger equations with cubic–quintic nonlinearity (2012) (17)
- Vector semirational rogue waves for a coupled nonlinear Schrödinger system in a birefringent fiber (2019) (17)
- Breathers, multi-peak solitons, breather-to-soliton transitions and modulation instability of the variable-coefficient fourth-order nonlinear Schrödinger system for an inhomogeneous optical fiber (2019) (17)
- Soliton, multiple-lump and hybrid solutions of a (2+1)-dimensional generalized Hirota-Satsuma-Ito equation for the water waves (2021) (17)
- Rogue wave solutions for a generalized nonautonomous nonlinear equation in a nonlinear inhomogeneous fiber (2015) (17)
- Analytic study on soliton-effect pulse compression in dispersion-shifted fibers with symbolic computation (2008) (17)
- Symbolic computation on the multi-soliton-like solutions of the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas (2007) (17)
- Dynamics of an integrable Kadomtsev-Petviashvili-based system (2014) (17)
- Semi-rational solutions for a $$(2+1)$$(2+1)-dimensional Davey–Stewartson system on the surface water waves of finite depth (2018) (16)
- Solitons via an auxiliary function for an inhomogeneous higher-order nonlinear Schrödinger equation in optical fiber communications (2015) (16)
- Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas (2003) (16)
- Soliton solutions and Bäcklund transformations of a (2 + 1)-dimensional nonlinear evolution equation via the Jaulent–Miodek hierarchy (2014) (16)
- Conservation laws and solitons for the coupled cubic–quintic nonlinear Schrödinger equations in nonlinear optics (2011) (16)
- Solitonic excitations and interactions in an α-helical protein modeled by three coupled nonlinear Schrödinger equations with variable coefficients (2010) (16)
- Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas (2003) (16)
- Bright soliton solutions and collisions for a (3+1)-dimensional coupled nonlinear Schrödinger system in optical-fiber communication (2015) (16)
- Certain dark-solitonic features in optical fibres (2003) (16)
- Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra (1997) (16)
- POSITONIC SOLUTIONS OF A VARIABLE-COEFFICIENT KdV EQUATION IN FLUID DYNAMICS AND PLASMA PHYSICS (2001) (16)
- (2+1)-dimensional Broer–Kaup system of shallow water waves and similarity solutions with symbolic computation (2005) (16)
- Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations (2009) (16)
- Soliton collision in a general coupled nonlinear Schrödinger system via symbolic computation (2013) (15)
- Integrability and soliton solutions for an inhomogeneous generalized fourth-order nonlinear Schrödinger equation describing the inhomogeneous alpha helical proteins and Heisenberg ferromagnetic spin chains (2013) (15)
- Nonautonomous Matter-Wave Solitons in a Bose-Einstein Condensate with an External Potential (2015) (15)
- Bright solitons for the (2+1)-dimensional coupled nonlinear Schrödinger equations in a graded-index waveguide (2015) (15)
- Superregular solutions for a coupled nonlinear Schrödinger system in a two-mode nonlinear fiber (2021) (15)
- Lie symmetries, conservation laws and solitons for the AB system with time-dependent coefficients in nonlinear optics or fluid mechanics (2019) (15)
- Periodic-wave and semirational solutions for the (2 $$+$$ 1)-dimensional Davey–Stewartson equations on the surface water waves of finite depth (2020) (15)
- Numerical solutions of a variable-coefficient nonlinear Schrödinger equation for an inhomogeneous optical fiber (2018) (15)
- Stochastic soliton solutions for the (2+1)-dimensional stochastic Broer-Kaup equations in a fluid or plasma (2017) (15)
- Integrability and optical solitons in a generalized variable-coefficient coupled Hirota–Maxwell–Bloch system in fiber optics (2013) (15)
- The solitonic features of a nonintegrable (3 + 1)-dimensional Jimbo-Miwa equation☆ (2002) (15)
- Bifurcation analysis and solutions of a three-dimensional Kudryashov-Sinelshchikov equation in the bubbly liquid (2014) (15)
- Solitons and chaos of the Klein-Gordon-Zakharov system in a high-frequency plasma (2015) (15)
- Bell-polynomial approach and N-soliton solution for the extended Lotka–Volterra equation in plasmas (2011) (15)
- Magnetic breathers and chaotic wave fields for a higher-order (2+1)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain (2020) (15)
- Lump and rogue waves for the variable-coefficient Kadomtsev–Petviashvili equation in a fluid (2018) (14)
- Painlevé analysis, Bäcklund transformations and traveling-wave solutions for a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation in a fluid (2021) (14)
- On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics (1998) (14)
- Analytic study on certain solitons in an erbium-doped optical fibre (2017) (14)
- Dark and dark-like-bright solitons for a higher-order nonlinear Schrödinger equation in optical fibers (2013) (14)
- VARIABLE-COEFFICIENT BALANCING-ACT ALGORITHM EXTENDED TO A VARIABLE-COEFFICIENT MKP MODEL FOR THE ROTATING FLUIDS (2001) (14)
- A new approach to the analytic soliton solutions for the variable-coefficient higher-order nonlinear Schrödinger model in inhomogeneous optical fibers (2010) (14)
- Semirational rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations in an alpha helical protein (2017) (14)
- Bäcklund transformation and Wronskian solitons for the (2+1)-dimensional Nizhnik–Novikov–Veselov equations (2013) (14)
- Mixed-type vector solitons for the coupled cubic–quintic nonlinear Schrödinger equations with variable coefficients in an optical fiber (2015) (14)
- Soliton interactions in a generalized inhomogeneous coupled Hirota–Maxwell–Bloch system (2012) (14)
- Higher-order rogue wave-like solutions for a nonautonomous nonlinear Schrödinger equation with external potentials (2018) (14)
- Fusion and fission phenomena for the soliton interactions in a plasma (2017) (14)
- Rogue matter waves in a Bose-Einstein condensate with the external potential (2014) (13)
- Bäcklund transformation in bilinear form for a higher-order nonlinear Schrödinger equation (2008) (13)
- Breather wave, rogue wave and lump wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid (2018) (13)
- Mixed-type solitons for the coupled higher-order nonlinear Schrödinger equations in multi-mode and birefringent fibers (2013) (13)
- Painlevé Integrability and N-Soliton Solution for the Whitham- Broer-Kaup Shallow Water Model Using Symbolic Computation (2008) (13)
- Dark single- and double-hump vector solitons of the coupled higher-order nonlinear Schrödinger equations in the birefringent or two-mode fibers (2015) (13)
- Dark solitons for a variable-coefficient higher-order nonlinear Schrödinger equation in the inhomogeneous optical fiber (2017) (13)
- Dark solitonic excitations and collisions from a fourth-order dispersive nonlinear Schrödinger model for the alpha helical protein (2014) (13)
- Integrable decompositions for the (2+1)-dimensional Gardner equation (2010) (13)
- High-order rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling in an isotropic medium (2016) (13)
- Semirational rogue waves for the three coupled variable-coefficient nonlinear Schrödinger equations in an inhomogeneous multicomponent optical fibre (2018) (13)
- (2 + 1) dimensional Hărăgus-Courcelle-Il’ichev model for the liquid surface waves in the presence of sea ice or surface tension: Bäcklund transformation, exact solutions and possibly observable effects (2004) (13)
- Lax pair, solitons, breathers and modulation instability of a three-component coupled derivative nonlinear Schrödinger system for a plasma (2022) (12)
- Vector breathers for the coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber (2020) (12)
- Bilinear Bäcklund transformation, kink and breather-wave solutions for a generalized (2+1)-dimensional Hirota–Satsuma–Ito equation in fluid mechanics (2021) (12)
- Bound-state solitons for the coupled variable-coefficient higher-order nonlinear Schrödinger equations in the inhomogeneous optical fiber (2017) (12)
- Bright-dark solitons for a set of the general coupled nonlinear Schrödinger equations in a birefringent fiber (2017) (12)
- Chaotic motions for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a nano optical fiber (2019) (12)
- Rogue Waves and Lump Solitons of the (3+1)-Dimensional Generalized B-type Kadomtsev-Petviashvili Equation for Water Waves (2017) (12)
- Analytic Multi-Solitonic Solutions of Variable-Coefficient Higher-Order Nonlinear Schrödinger Models by Modified Bilinear Method with Symbolic Computation (2007) (12)
- Lie Symmetry Reductions and Analytic Solutions for the AB System in a Nonlinear Optical Fiber (2019) (12)
- Bound-state solutions, Lax pair and conservation laws for the coupled higher-order nonlinear Schrödinger equations in the birefringent or two-mode fiber (2017) (12)
- Dark-dark solitons for a set of the coupled nonlinear Schrödinger equations in a birefringent fiber (2018) (12)
- Exact solutions for the Bogoyavlenskii coupled KdV equations (1995) (12)
- Interaction between the breather and breather-like soliton, and breather-to-soliton conversions of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber (2021) (11)
- Generalized Darboux transformation and the higher-order semirational solutions for a non-linear Schrödinger system in a birefringent fiber (2020) (11)
- Akhmediev breathers, Kuznetsov–Ma solitons and rogue waves in a dispersion varying optical fiber (2016) (11)
- Soliton dynamics and interaction in the Bose–Einstein condensates with harmonic trapping potential and time-varying interatomic interaction (2012) (11)
- Lax pair, breather-to-soliton conversions, localized and periodic waves for a coupled higher-order nonlinear Schrödinger system in a birefringent optical fiber (2019) (11)
- Vector Dark Solitons for a Coupled Nonlinear Schrödinger System with Variable Coefficients in an Inhomogeneous Optical Fibre (2017) (11)
- Bilinear form and soliton interactions for the modified Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics (2013) (11)
- Rogue waves for a generalized nonlinear Schrödinger equation with distributed coefficients in a monomode optical fiber (2018) (11)
- Bilinear forms and bright-dark solitons for a coupled nonlinear Schrödinger system with variable coefficients in an inhomogeneous optical fiber (2019) (11)
- Lumps and rouge waves for a $$(3+1)$$(3+1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in fluid mechanics (2018) (11)
- Solitonic Excitations and Interactions in the Three-Spine Alpha-Helical Protein with Inhomogeneity (2011) (11)
- Rogue and lump waves for the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a liquid or lattice (2021) (11)
- Symbolic Computation Study of a Generalized Variable-Coefficient Two-Dimensional Korteweg-de Vries Model with Various External-Force Terms from Shallow Water Waves, Plasma Physics, and Fluid Dynamics (2009) (11)
- Pfaffianization of the generalized variable-coefficient Kadomtsev-Petviashvili equation (2010) (11)
- Vector–soliton bound states for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers (2013) (11)
- Painlevé analysis, bilinear form, Bäcklund transformation, solitons, periodic waves and asymptotic properties for a generalized Calogero–Bogoyavlenskii–Konopelchenko–Schiff system in a fluid or plasma (2021) (11)
- Solitons interaction and integrability for a (2+1)-dimensional variable-coefficient Broer–Kaup system in water waves (2018) (10)
- Localized waves for the mixed coupled Hirota equations in an optical fiber (2019) (10)
- Symbolic Computation for the Nonlinear SCHRÖDINGER Equations Relevant to the RAYLEIGH-TAYLOR Instability in the Space and Laboratory Plasma Systems (2001) (10)
- Interactions of breathers and solitons of a generalized variable-coefficient Korteweg-de Vries-modified Korteweg-de Vries equation with symbolic computation (2012) (10)
- Bright-dark and dark-dark solitons for the coupled cubic-quintic nonlinear Schrödinger equations in a twin-core nonlinear optical fiber (2017) (10)
- Alfvén solitons in the coupled derivative nonlinear Schrödinger system with symbolic computation (2009) (10)
- Bright and dark N-soliton solutions for the (2 + 1)-dimensional Maccari system (2018) (10)
- Lump, mixed lump-stripe, mixed rogue wave-stripe and breather wave solutions for a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation (2020) (10)
- Bilinear auto-Bäcklund transformation, breather-wave and periodic-wave solutions for a (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation (2021) (10)
- Lax pair, Darboux transformation, vector rational and semi-rational rogue waves for the three-component coupled Hirota equations in an optical fiber (2019) (10)
- Similarity Reductions for a Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation with Symbolic Computation (1999) (10)
- Ultrashort soliton pulses in the modified nonlinear Schrödinger equation with distributed coefficients in inhomogeneous fibers (2010) (10)
- Analytic study on the mixed-type solitons for a (2+1)-dimensional N-coupled nonlinear Schrödinger system in nonlinear optical-fiber communication (2015) (10)
- Breather-like solitons, rogue waves, quasi-periodic/chaotic states for the surface elevation of water waves (2019) (10)
- Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy (2012) (10)
- Extending the generalized tanh method to the generalized Hamiltonian equations: New soliton-like solutions☆ (1997) (10)
- Semi-rational solutions for the (3+1)-dimensional Kadomtsev-Petviashvili equation in a plasma or fluid (2018) (10)
- Soliton-like solutions for the modified variable-coefficient Ginzburg–Landau equation (2009) (9)
- Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets (2013) (9)
- Solitons, Bäcklund transformation and Lax pair for a generalized variable-coefficient Boussinesq system in the two-layered fluid flow (2016) (9)
- Conservation laws, solitons, breather and rogue waves for the (2+1)-dimensional variable-coefficient Nizhnik–Novikov–Veselov system in an inhomogeneous medium (2017) (9)
- Bright-dark vector soliton solutions for a generalized coupled Hirota system in the optical glass fiber (2016) (9)
- Mixed-type soliton solutions for the N-coupled Hirota system in an optical fiber (2016) (9)
- Soliton-like solutions of the coupled Hirota–Maxwell–Bloch system in optical fibers with symbolic computation (2009) (9)
- Bäcklund transformation and soliton solutions in terms of the Wronskian for the Kadomtsev–Petviashvili-based system in fluid dynamics (2018) (9)
- Butterfly-shaped pulse in optical fibers with variable group-velocity dispersion (2013) (9)
- Bilinear Bäcklund transformation, breather- and travelling-wave solutions for a (2+1)-dimensional extended Kadomtsev–Petviashvili II equation in fluid mechanics (2021) (9)
- Analytic study on the pulse transmission control system in dispersion decreasing fibers (2009) (9)
- Soliton Interactions for the Three‐Coupled Discrete Nonlinear Schrödinger Equations in the Alpha Helical Proteins (2014) (9)
- Soliton and rogue-wave solutions for a (2 + 1)-dimensional fourth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain (2016) (9)
- Solitons for a Forced Extended Korteweg–de Vries Equation with Variable Coefficients in Atmospheric Dynamics (2013) (9)
- Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation (2011) (9)
- Lump Solutions for the (3+1)-Dimensional Kadomtsev–Petviashvili Equation (2016) (9)
- Analytic study on the Sawada-Kotera equation with a nonvanishing boundary condition in fluids (2013) (8)
- Analytic study on bound solitons and soliton collisions for the coupled nonlinear Schrödinger equations (2012) (8)
- SYMBOLIC COMPUTATION STUDY OF BRIGHT SOLITONIC PULSES IN THE NORMAL DISPERSION REGION (2008) (8)
- Conservation laws and rogue waves for a higher-order nonlinear Schrödinger equation with variable coefficients in the inhomogeneous fiber (2017) (8)
- Bright solitons for a generalized nonautonomous nonlinear equation in a nonlinear inhomogeneous fiber (2017) (8)
- Bright solitons for the coupled cubic-quintic non-linear Schrödinger equations (2016) (8)
- Lump, mixed lump-kink, breather and rogue waves for a B-type Kadomtsev-Petviashvili equation (2019) (8)
- Analytic solution for a nonlinear chemistry system of ordinary differential equations (2012) (8)
- Painlev$$\acute{\mathrm{e}}$$ integrable condition, auto-Bäcklund transformations, Lax pair, breather, lump-periodic-wave and kink-wave solutions of a (3+1)-dimensional Hirota–Satsuma–Ito-like system for the shallow water waves (2021) (8)
- Conservation laws and dark-soliton solutions of an integrable higher-order nonlinear Schrödinger equation for a density-modulated quantum condensate (2015) (8)
- On a Variable-Coefficient Modified KP Equation and a Generalized Variable-Coefficient KP Equation with Computerized Symbolic Computation (2001) (8)
- Mixed-type vector solitons of the N -coupled mixed derivative nonlinear Schrödinger equations from optical fibers (2013) (8)
- Analytic studies on a generalized inhomogeneous higher-order nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain (2015) (8)
- N-SOLITON-LIKE SOLUTIONS AND BÄCKLUND TRANSFORMATIONS FOR A NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT MODIFIED KORTEWEG-DE VRIES EQUATION (2011) (8)
- SYMBOLIC COMPUTATION AND POSSIBLY OBSERVABLE EFFECTS FOR THE SOLITON-LIKE LIQUID WAVE PROPAGATION IN THE PRESENCE OF SURFACE TENSION (2004) (8)
- Soliton interactions for a generalized variable-coefficient coupled higher-order nonlinear Schrödinger system in an inhomogeneous optical fiber (2017) (8)
- Prolongation Structure of a Generalised Inhomogeneous Gardner Equation in Plasmas and Fluids (2016) (8)
- Bäcklund transformation and multi-soliton solutions for a (2 + 1)-dimensional Korteweg-de Vries system via symbolic computation (2010) (8)
- N-Solitonic Solution in Terms of Wronskian Determinant for a Perturbed Variable-Coefficient Korteweg-de Vries Equation (2008) (7)
- Triple Wronskian vector solitons and rogue waves for the coupled nonlinear Schrödinger equations in the inhomogeneous plasma (2015) (7)
- Integrability and soliton solutions for an N-coupled nonlinear Schrödinger system in optical fibers (2013) (7)
- Vector rogue waves for the N-coupled generalized nonlinear Schrödinger equations with cubic-quintic nonlinearity in an optical fiber (2016) (7)
- Dark-dark solitons for a coupled variable-coefficient higher-order nonlinear Schrödinger system in an inhomogeneous optical fiber (2017) (7)
- Gramian solutions and soliton interactions for a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in a plasma or fluid (2019) (7)
- All-optical soliton switching for the asymmetric fiber couplers (2013) (7)
- Soliton-like solutions for a (2 + 1)-dimensional generalization of the shallow water wave equations (1996) (7)
- Lax pair, conservation laws and solitons for a (2+1)-dimensional fourth-order nonlinear Schrödinger equation governing an α-helical protein (2015) (7)
- The Nth-order Darboux transformation, vector dark solitons and breathers for the coupled defocusing Hirota system in a birefringent nonlinear fiber (2018) (7)
- VARIABLE-COEFFICIENT FORCED BURGERS SYSTEM IN NONLINEAR FLUID MECHANICS AND ITS POSSIBLY OBSERVABLE EFFECTS (2003) (7)
- Comment on “Dust ion-acoustic shocks and holes” [Phys. Plasmas 7, 1044 (2000)] (2001) (7)
- Using symbolic computation to exactly solve for the Bogoyavlenskii's generalized breaking soliton equation (1997) (7)
- Bäcklund transformation, Lax pair, and solutions for the Caudrey–Dodd–Gibbon equation (2011) (7)
- Rogue-wave solutions for an inhomogeneous nonlinear system in a geophysical fluid or inhomogeneous optical medium (2016) (7)
- Darboux transformation and conservation laws for an inhomogeneous fifth-order nonlinear Schrödinger equation from the Heisenberg ferromagnetism (2015) (7)
- Symbolic-Computation Study on the (2+1)-Dimensional Dispersive Long Wave System (2010) (7)
- Characteristics of higher-order vector rogue waves to a coupled fourth-order nonlinear Schrödinger system in a two-mode optical fiber (2020) (7)
- Bright N-Soliton Solutions to the Vector Hirota Equation from Nonlinear Optics with Symbolic Computation (2012) (7)
- A SYSTEM OF THE COUPLED KORTEWEG-DE VRIES EQUATIONS AND COMPUTERIZED SYMBOLIC COMPUTATION (2001) (6)
- Symbolic Computation For The Fisher-Type Equation With Variable Coefficients (2001) (6)
- Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field (2010) (6)
- Painlevé Analysis, Soliton Collision and Bäcklund Transformation for the (3+1)-Dimensional Variable-Coefficient Kadomtsev—Petviashvili Equation in Fluids or Plasmas (2014) (6)
- Stochastic dark solitons for a higher-order nonlinear Schrödinger equation in the optical fiber (2013) (6)
- VARIABLE-COEFFICIENT MIURA TRANSFORMATIONS AND INTEGRABLE PROPERTIES FOR A GENERALIZED VARIABLE-COEFFICIENT KORTEWEG–de VRIES EQUATION FROM BOSE–EINSTEIN CONDENSATES WITH SYMBOLIC COMPUTATION (2009) (6)
- Lax pair and vector solitons for a variable-coefficient coherently-coupled nonlinear Schrödinger system in the nonlinear birefringent optical fiber (2017) (6)
- Kadomtsev–Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid (2021) (6)
- Soliton solutions and integrability for the generalized variable-coefficient extended Korteweg-de Vries equation in fluids (2013) (6)
- Infinitely-many conservation laws for two (2+1)-dimensional nonlinear evolution equations in fluids (2014) (6)
- Soliton collisions for a generalized variable-coefficient coupled Hirota–Maxwell–Bloch system for an erbium-doped optical fiber (2015) (6)
- Bell‐Polynomial Approach and Integrability for the Coupled Gross–Pitaevskii Equations in Bose–Einstein Condensates (2013) (6)
- On the amplification of unchirped soliton pulses in a dispersion-decreasing fiber (2015) (6)
- Bäcklund transformation and conservation laws for the variable-coefficient N-coupled nonlinear Schrödinger equations with symbolic computation (2012) (6)
- Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schrödinger equation (2010) (6)
- Soliton collisions for a higher-order nonlinear Schrödinger–Maxwell–Bloch system in an erbium-doped fiber (2017) (6)
- Bäcklund transformations and soliton solutions for a (2 + 1)-dimensional Korteweg–de Vries-type equation in water waves (2015) (6)
- Dark–bright soliton interactions for the coupled cubic-quintic nonlinear Schrödinger equations in fiber optics (2014) (6)
- Vector single- and double-hump solitons for the coupled Sasa-Satsuma equations in optical media (2016) (6)
- Gauge transformation between the first-order nonisospectral and isospectral Heisenberg hierarchies (2012) (6)
- Solitonic interaction and Pfaffianization for a (3+1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid (2017) (6)
- Perturbation-iteration method for multi-peak solitons in nonlocal nonlinear media (2017) (5)
- Conservation Laws and Mixed-Type Vector Solitons for the 3-Coupled Variable-Coefficient Nonlinear Schrödinger Equations in Inhomogeneous Multicomponent Optical Fibre (2016) (5)
- Solitons and rogue waves for a nonlinear system in the geophysical fluid (2016) (5)
- Soliton collisions and integrable aspects of the fifth-order Korteweg-de Vries equation for shallow water with surface tension (2015) (5)
- Solitons for the (2+1)-dimensional nonlinear Schrödinger-Maxwell-Bloch equations in an erbium-doped fibre (2016) (5)
- Bound-state dark/antidark solitons for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers (2012) (5)
- Vector solitons for the coupled Gross-Pitaevskii equations with a time-dependent external harmonic potential in the Bose-Einstein condensation (2017) (5)
- The higher-order and multi-lump waves for a (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid (2021) (5)
- Lax pair, Darboux transformation and rogue waves for the three-coupled fourth-order nonlinear Schrödinger system in an alpha helical protein (2019) (5)
- Vector bright soliton interactions of the coupled Sasa–Satsuma equations in the birefringent or two-mode fiber (2018) (5)
- New solitary solutions and non-elastic interactions of the (2 + 1)-dimensional variable-coefficient Broer–Kaup system with symbolic computation (2009) (5)
- Integrability and soliton interaction of a resonant nonlinear Schrödinger equation via binary Bell polynomials (2013) (4)
- Integrable nonlinear differential-difference hierarchy and Darboux transformation (2012) (4)
- Conservation laws and soliton solutions for a nonlinear Schrödinger equation with self-consistent sources in plasmas (2010) (4)
- COMPUTERIZED SYMBOLIC COMPUTATION FOR THE CYLINDRICAL KORTEWEG–DE VRIES EQUATION (1999) (4)
- Symbolic-computation study of bright solitons in the optical waveguides and Bose-Einstein condensates (2015) (4)
- Solitons and breather-to-soliton transitions for an integrable higher-order variable-coefficient nonlinear Schrödinger equation in an optical fiber (2017) (4)
- Soliton-like solutions and chaotic motions for a forced and damped Zakharov–Kuznetsov equation in a magnetized electron–positron–ion plasma (2015) (4)
- Inelastic Interaction and Non-Traveling-Wave Effects for Two Multi-Dimensional Burgers Models from Fluid Dynamics and Astrophysics with Symbolic Computation (2006) (4)
- Solitonic coalescence and rogue waves for the coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fiber (2020) (4)
- Darboux transformations, solitons, breathers and rogue waves for the modified Hirota equation with variable coefficients in an inhomogeneous fiber (2018) (4)
- Singular soliton, shock-wave, breather-stripe soliton, hybrid solutions and numerical simulations for a (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada system in fluid mechanics (2022) (4)
- Darboux transformation and soliton solutions for a system describing ultrashort pulse propagation in a multicomponent nonlinear medium (2010) (4)
- On a generalized breaking soliton equation (1997) (4)
- Lump waves and breather waves for a (3+1)-dimensional generalized Kadomtsev–Petviashvili Benjamin–Bona–Mahony equation for an offshore structure (2018) (4)
- Similarity Reductions And Integrability For The Brusselator Reaction–Diffusion Model With Symbolic Computation (2003) (4)
- Generalized Variable-Coefficient KP Equation (1998) (4)
- Rogue waves for a coupled nonlinear Schrödinger system in a multi-mode fibre (2016) (4)
- Odd‐Fold Darboux Transformation, Breather, Rogue‐Wave and Semirational Solutions on the Periodic Background for a Variable‐Coefficient Derivative Nonlinear Schrödinger Equation in an Inhomogeneous Plasma (2021) (4)
- Soliton Solutions of a Generalised Nonlinear Schrödinger–Maxwell–Bloch System in the Erbium-Doped Optical Fibre (2016) (4)
- Lax pair, Darboux transformation and rogue-periodic waves of a nonlinear Schrödinger–Hirota equation with the spatio-temporal dispersion and Kerr law nonlinearity in nonlinear optics (2021) (4)
- Rogue waves for an inhomogeneous discrete nonlinear Schrödinger equation in a lattice (2019) (4)
- ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS: Pulse Amplification in Dispersion-Decreasing Fibers with Symbolic Computation (2009) (4)
- Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma (2016) (4)
- Soliton solutions and Bäcklund transformation for the generalized inhomogeneous coupled nonlinear Schrödinger equations via symbolic computation (2009) (4)
- Mixed-type solitons and soliton interaction for the (2+1)-dimensional two-component long wave-short wave resonance interaction equations in a two-layer fluid through the Bell polynomials (2016) (4)
- Dark solitons, Lax pair and infinitely-many conservation laws for a generalized (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation in the inhomogeneous Heisenberg ferromagnetic spin chain (2017) (4)
- Soliton solutions for a (3 + 1)-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov equation in a plasma (2016) (4)
- Pulse Compression And Pedestal Suppression For The High-Order Solitons (2012) (4)
- Symbolic computation on soliton dynamics and Bäcklund transformation for the generalized coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity (2012) (3)
- Modified Exp-Function Method and Variable-Coefficient Korteweg-De Vries Model from Bose-Einstein Condensates (2010) (3)
- Lax pair and vector semi-rational nonautonomous rogue waves for a coupled time-dependent coefficient fourth-order nonlinear Schrödinger system in an inhomogeneous optical fiber (2020) (3)
- N-soliton solutions and asymptotic analysis for a Kadomtsev–Petviashvili–Schrödinger system for water waves (2015) (3)
- Solitons and dynamic analysis for a (2 + 1)-dimensional breaking soliton equation (2017) (3)
- BILINEAR FORM AND SOLITON SOLUTIONS FOR THE COUPLED NONLINEAR KLEIN–GORDON EQUATIONS (2012) (3)
- Bäcklund transformation, superposition formulae and N-soliton solutions for the perturbed Korteweg–de Vries equation (2012) (3)
- DEFORMED KORTEWEG-DE VRIES EQUATION WITH SYMBOLIC COMPUTATION (2001) (3)
- N-soliton solutions, Bäcklund transformation and conservation laws for the integro-differential nonlinear Schröbinger equation from the isotropic inhomogeneous Heisenberg spin magnetic chain (2014) (3)
- Rogue waves for a (2+1)-dimensional Gross-Pitaevskii equation with time-varying trapping potential in the Bose-Einstein condensate (2020) (3)
- Rogue waves for a discrete (2+1)-dimensional Ablowitz-Ladik equation in the nonlinear optics and Bose-Einstein condensation (2018) (3)
- Solitons, Bäcklund transformations, Lax pair and conservation laws for the nonautonomous mKdV–sinh-Gordon equation with time-dependent coefficients (2016) (3)
- Triple Wronskian solutions of the coupled derivative nonlinear Schrödinger equations in optical fibers (2012) (3)
- Dynamics of the Manakov Solitons in Biased Guest-Host Photorefractive Polymer (2013) (3)
- Bright and dark solitons and Bäcklund transformations for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in an optical fiber (2015) (3)
- Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers (2010) (3)
- Computerized Symbolic Computation For The Modified Dispersive Water Wave Equations (2001) (3)
- Dark and bright solitons for a three-dimensional Gross-Pitaevskii equation with distributed time-dependent coefficients in the Bose-Einstein condensation (2017) (3)
- Symmetry reductions, group-invariant solutions and conservation laws of a three-coupled Korteweg-de Vries system (2019) (3)
- Bäcklund transformation and soliton interactions for the Zakharov–Kuznetsov equation in plasmas (2012) (3)
- Generalized Darboux transformations, semirational rogue waves, and modulation instability for the three-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous multicomponent optical fiber (2021) (3)
- Bound-state dark/antidark solitons for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers (2012) (3)
- Symbolic computation on integrable decompositions for the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas and Bose–Einstein condensates (2007) (3)
- Integrability and soliton dynamics for an inhomogeneous nonlinear Schrödinger equation in an inhomogeneous plasma (2015) (3)
- Darboux transformation and vector solitons for a variable-coefficient coherently coupled nonlinear Schrödinger system in nonlinear optics (2016) (3)
- Solitons, Lie Group Analysis and Conservation Laws of a (3+1)-Dimensional Modified Zakharov-Kuznetsov Equation in a Multicomponent Magnetised Plasma (2017) (3)
- Observable Solitonic Features of the Generalized Reaction Duffing Model (2002) (3)
- Bäcklund transformation and N-shock-wave solutions for a (3+1)-dimensional nonlinear evolution equation (2016) (3)
- ABRAHAMS–TSUNETO REACTION–DIFFUSION SYSTEM IN SUPERCONDUCTIVITY AND SYMBOLIC COMPUTATION (2001) (3)
- Soliton solutions for a variable-coefficient Korteweg–de Vries equation in fluids and plasmas (2010) (3)
- Bright solitons and their interactions of the (3 + 1)-dimensional coupled nonlinear Schrödinger system for an optical fiber (2015) (3)
- Some analytical solutions for the (2+1)-dimensional nonintegrable and integrable dispersive long wave equations (1998) (3)
- N-Fold generalized Darboux transformation and semirational solutions for the Gerdjikov-Ivanov equation for the Alfvén waves in a plasma (2022) (3)
- Bäcklund transformation and N-soliton solutions for a (2+1)-dimensional nonlinear evolution equation in nonlinear water waves (2014) (3)
- Breather and double-pole solutions for the Benjamin-Ono equation in a stratified fluid (2016) (3)
- Solitonic Investigation on the General Fifth-Order Shallow Water Wave Models (2001) (3)
- Soliton interactions, Bäcklund transformations, Lax pair for a variable-coefficient generalized dispersive water-wave system (2018) (2)
- Solitonic interaction and Bäcklund transformation for a generalized inhomogeneous coupled nonlinear Schrödinger system (2017) (2)
- Kink soliton solutions and bifurcation for a nonlinear space-fractional Kolmogorov–Petrovskii–Piskunov equation in circuitry, chemistry or biology (2019) (2)
- Soliton dynamics and interaction in the Bose–Einstein condensates with harmonic trapping potential and time-varying interatomic interaction (2011) (2)
- Symbolic computation, Bäcklund transformation and analytic N-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas (2009) (2)
- Periodic waves in nonlinear metamaterials (2012) (2)
- Bright Soliton Solutions of the Coherently-Coupled Nonlinear Schrödinger Equations in Optical Fibers (2015) (2)
- Rational and semi-rational solutions for the (3 + 1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation (2019) (2)
- Analytic Study on an Extended Higher-Order Nonlinear Schrödinger Equation for Heisenberg Ferromagnet (2015) (2)
- Soliton solutions and Bäcklund transformation for the normalized linearly coupled nonlinear wave equations with symbolic computation (2012) (2)
- Particular Solutions for a (3+1)-dimensional Generalized Shallow Water Wave Equation (1998) (2)
- Report on new similarity reductions of a variable-coefficient Sine-Gordon-type equation☆ (1998) (2)
- ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS: Integrability Aspects and Soliton Solutions for a System Describing Ultrashort Pulse Propagation in an Inhomogeneous Multi-Component Medium (2010) (2)
- GAUGE TRANSFORMATION AND SOLITON SOLUTIONS FOR THE WHITHAM–BROER–KAUP SYSTEM IN THE SHALLOW WATER (2012) (2)
- ANALYTIC DARK SOLITON SOLUTIONS FOR A GENERALIZED VARIABLE-COEFFICIENT HIGHER-ORDER NONLINEAR SCHRÖDINGER EQUATION IN OPTICAL FIBERS USING SYMBOLIC COMPUTATION (2011) (2)
- Bilinear Forms and Dark-Dark Solitons for the Coupled Cubic-Quintic Nonlinear Schrödinger Equations with Variable Coefficients in a Twin-Core Optical Fiber or Non-Kerr Medium (2019) (2)
- Jacobian-elliptic-function and rogue-periodic-wave solutions of a high-order nonlinear Schrödinger equation in an inhomogeneous optical fiber (2022) (2)
- Dark-soliton dynamics in a two-species Bose–Einstein condensate with the external potential and thermal cloud effects (2013) (2)
- Analytic study on the generalized ($$3+1$$3+1)-dimensional nonlinear Schrödinger equation with variable coefficients in the inhomogeneous optical fiber (2015) (2)
- Bilinear forms and vector bright solitons for a coupled nonlinear Schrödinger system with variable coefficients in an inhomogeneous optical fiber (2021) (2)
- Periodic, complexiton solutions and stability for a (2+1)-dimensional variable-coefficient Gross-Pitaevskii equation in the Bose-Einstein condensation (2018) (2)
- Wronskian solutions and Pfaffianization for a(3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili equation in a fluid or plasma (2023) (2)
- Nonlinear localized waves for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation (2021) (2)
- Solitons for a forced generalized variable-coefficient Korteweg–de Vries equation for the atmospheric blocking phenomenon (2016) (2)
- Rogue Waves for a (2+1)-Dimensional Coupled Nonlinear Schrödinger System with Variable Coefficients in a Graded-Index Waveguide* (2018) (2)
- Integrability and Multi-Soliton Solutions for a Variable-Coefficient Coupled Gross–Pitaevskii System for Atomic MatterWaves (2012) (2)
- Extension of generalized tanh method and soliton-like solutions for a set of nonlinear evolution equations (1997) (2)
- Extension of the perturbation-iteration method to (1+2)-dimensional case (2019) (2)
- ON THE NONINTEGRABLE HIROTA–SATSUMA SYSTEM OF COUPLED KdV EQUATIONS IN FLUID DYNAMICS (2001) (2)
- N-SOLITON SOLUTIONS, AUTO-BÄCKLUND TRANSFORMATIONS AND LAX PAIR FOR A NONISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION VIA SYMBOLIC COMPUTATION (2009) (2)
- Multi-fold binary Darboux transformation and mixed solitons of a three-component Gross-Pitaevskii system in the spinor Bose-Einstein condensate (2021) (2)
- Solitons and modulation instability for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensate (2017) (1)
- Generalized tanh Method and Four Families of Soliton-Like Solutions for a Generalized Shallow Water Wave Equation (1996) (1)
- Soliton-Typed Solutions to the Generalized Cylindrical Kadomtsev-Petviashvili Equation with Variable Coefficients (1995) (1)
- Bilinear Form and N‐Shock‐Wave Solutions for a (2+1)‐Dimensional Breaking Soliton Equation in Certain Fluids with the Bell Polynomials and Auxiliary Function (2013) (1)
- INTEGRABLE ASPECTS AND SOLITON-LIKE SOLUTIONS OF AN INHOMOGENEOUS COUPLED HIROTA–MAXWELL–BLOCH SYSTEM IN OPTICAL FIBERS WITH SYMBOLIC COMPUTATION (2010) (1)
- SOLITON INTERACTION OF THE ZAKHAROV KUZNETSOV EQUATIONS IN PLASMA DYNAMICS (2013) (1)
- Hybrid solutions of a (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation in an incompressible fluid (2021) (1)
- SOLITON INTERACTIONS FOR A HIROTA–MAXWELL–BLOCH SYSTEM IN THE INHOMOGENEOUS ERBIUM-DOPED FIBER (2012) (1)
- Bäcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation (2010) (1)
- Bright–dark soliton solutions for the (2+1)-dimensional variable-coefficient coupled nonlinear Schrödinger system in a graded-index waveguide (2017) (1)
- Bilinearization and soliton solutions for some nonlinear evolution equations in fluids via the Bell polynomials and auxiliary functions (2013) (1)
- Dark–dark and bright–dark solitons for a (2+1)-dimensional variable-coefficient nonlinear Schrödinger system in a graded-index waveguide (2020) (1)
- Double Wronskian solutions of a nonlinear Schrödinger equation in an averaged dispersion-managed fiber system (2013) (1)
- Dark solitons for a variable-coefficient Kundu–Eckhaus equation in an inhomogeneous optical fiber with the relevant Lax pair and binary Darboux transformations (2019) (1)
- Stochastic Soliton Solutions of the High-Order Nonlinear Schrödinger Equation in the Optical Fiber with Stochastic Dispersion and Nonlinearity (2014) (1)
- ANALYTIC ANALYSIS ON A GENERALIZED (2+1)-DIMENSIONAL VARIABLE-COEFFICIENT KORTEWEG–DE VRIES EQUATION USING SYMBOLIC COMPUTATION (2010) (1)
- Discrete Solitons and Bäcklund Transformation for the Coupled Ablowitz–Ladik Equations (2017) (1)
- Double Wronskian Solution and Conservation Laws for a Generalized Variable-Coefficient Higher-Order Nonlinear Schrödinger Equation in Optical Fibers (2009) (1)
- Symbolic computation on pulse compression without pedestal in an inhomogeneous medium (2013) (1)
- Dark solitons for a discrete variable-coefficient Ablowitz–Ladik equation for an electrical/optical system (2017) (1)
- Computerized symbolic computation, nonintegrable Ostrovsky's model for the oceanic or plasma environment and similarity solutions (2004) (1)
- Computerized Symbolic Computation on a Sixth-order Model for Liquid Waves in the Presence of Surface Tension or a Floating Ice (2004) (1)
- Soliton collisions of a discrete Ablowitz–Ladik equation with variable coefficients for an electrical/optical system (2017) (1)
- Bell-polynomial approach and Wronskian determinant solutions for three sets of differential–difference nonlinear evolution equations with symbolic computation (2017) (1)
- Darboux Transformation and Symbolic Computation on Multi-Soliton and Periodic Solutions for Multi-Component Nonlinear Schr¨odinger Equations in an Isotropic Medium (2009) (1)
- Soliton interactions and Bäcklund transformation for a (2+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili equation in fluid dynamics (2018) (1)
- Symbolic Computation Of Bäcklund Transformation And Exact Solutions To The Variant Boussinesq Model For Water Waves (1999) (1)
- Analytical solving of a deformed KdV equation (1997) (1)
- Bilinear Forms and Soliton Solutions for the Reduced Maxwell-Bloch Equations with Variable Coefficients in Nonlinear Optics* (2018) (1)
- Dark soliton collisions of a discrete Ablowitz–Ladik equation for an electrical/optical system (2016) (1)
- Bright/dark breather-soliton, lump wave-soliton and rogue wave-soliton interactions for a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid mechanics (2022) (1)
- Composite rogue waves and modulation instability for the three-coupled Hirota system in an optical fiber (2017) (1)
- Applications of some transformations for several variable-coefficient nonlinear evolution equations from plasma physics, arterial mechanics, nonlinear optics and Bose–Einstein condensates (2012) (1)
- Pfaffian solutions for the (3+1)-dimensional nonlinear evolution equation in a fluid/plasma/crystal and the (2+1)-dimensional Sawada–Kotera equation in a liquid (2017) (1)
- On the Variant Boussinesq Equations (1997) (1)
- Dark soliton collisions for an N-coupled nonlinear Schrödinger system in the inhomogeneous optical fiber (2017) (1)
- Notiz: Modification of the Generalized tanh Method with sech Function for Generalized Hamiltonian Equations (1997) (1)
- Jacobian-Elliptic-Function and Rogue-Periodic-Wave Solutions of a Fifth-Order Nonlinear Schrödinger Equation in an Optical Fiber (2023) (0)
- New similarity solutions for a (2+1) -dimensional breaking soliton equation (2003) (0)
- Notiz: A Symbolic Computation-Based Method and Two Nonlinear Evolution Equations for Water Waves (1997) (0)
- Lax pair, interactions and conversions of the nonlinear waves for a (2+1)-dimensional nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain (2021) (0)
- Symbolic computation on Bäcklund transformation and soliton solutions for a generalized nonlinear Schrödinger equation in inhomogeneous fibers (2013) (0)
- Bäcklund Transformation and N-Soliton Solutions for the Cylindrical Nonlinear Schrodinger Equation from the Diverging Quasi-Plane Envelope Waves (2012) (0)
- Soliton Solutions, Pairwise Collisions and Partially Coherent Interactions for A Generalized (1+1)-Dimensional Coupled Nonlinear Schrödinger System via Symbolic Computation (2008) (0)
- Bilinear forms and solitonic stability for a variable-coefficient Hirota-Satsuma coupled Korteweg-de Vries system in a liquid (2023) (0)
- Soliton collisions and integrable aspects of the fifth-order Korteweg-de Vries equation for shallow water with surface tension (2015) (0)
- Lumps and rogue waves on the periodic backgrounds for a (2 + 1)-dimensional nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain (2021) (0)
- Generalized Darboux transformation and asymptotic analysis on the degenerate dark-bright solitons for a coupled nonlinear Schrödinger system (2021) (0)
- Multi-Soliton-Like Solutions of a Coupled Kadomtsev-Petviashvili System (2011) (0)
- Response to “Comment on ‘Soliton solutions and chaotic motion of the extended Zakharov-Kuznetsov equations in a magnetized two-ion-temperature dusty plasma’” [Phys. Plasmas 25, 104701 (2018)] (2018) (0)
- Soliton excitations and interactions for the three-coupled fourth-order nonlinear Schrödinger equations in the alpha helical proteins (2015) (0)
- Vector solitons for the (2 + 1)‐dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber (2021) (0)
- Symbolic computation on soliton solutions for variable-coefficient nonlinear Schrödinger equation in nonlinear optics (2011) (0)
- Bäcklund transformation, analytic soliton solutions and numerical simulation for a (2+1)-dimensional complex Ginzburg–Landau equation in a nonlinear fiber (2017) (0)
- Soliton interactions in a generalized inhomogeneous coupled Hirota–Maxwell–Bloch system (2011) (0)
- Degenerate fundamental nonlinear waves on the nonzero-zero background for a coupled Hirota system in a birefringent fiber (2023) (0)
- Research Note on New Similarity Reductions of a Variable-Coefficient Korteweg-de Vries Equation (1997) (0)
- Generalized Darboux transformation and rogue waves for a coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber (2023) (0)
- Solitons for the (3 + 1)-dimensional coupled nonlinear Schrödinger equations in the inhomogeneous parity-time-symmetric coupler with gain or loss (2017) (0)
- Dynamic behavior of the incoherent optical spatial solitons in a nonlocal nonlinear medium (2015) (0)
- N-soliton solution and soliton collisions of the (2+1)-dimensional nonlinear long-wave Boussinesq-class equation (2011) (0)
- Interactions of breathers and solitons of a generalized variable-coefficient Korteweg-de Vries-modified Korteweg-de Vries equation with symbolic computation (2012) (0)
- Remarks on the Painlevé analysis for a (2+1)-dimensional generalization of nonlinear-Schrödinger-type equations (2007) (0)
- Generalized (2+1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms (2011) (0)
- Response to “Comment on ‘Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma’” [Phys. Plasmas 24, 094701 (2017)] (2018) (0)
- MATH 742 HEAT EQUATION AND KERNEL (2014) (0)
- Vector bright solitons and their interactions of the couple Fokas–Lenells system in a birefringent optical fiber (2020) (0)
- Soliton solutions and chaotic motions for the (2+1)-dimensional Zakharov equations in a laser-induced plasma (2016) (0)
- Solitonic properties for a forced generalized variable-coefficient Korteweg-de Vries equation for the atmospheric blocking phenomenon (2018) (0)
- Soliton interactions of a (2+1)-dimensional nonlinear Schrödinger equation in a nonlinear photonic quasicrystal or Kerr medium (2017) (0)
- Auto-Bäcklund transformation and two families of analytical solutions to the (2+1) -dimensional soliton breaking equation (Physics Letters A 212 (1996) 247) (1996) (0)
- Inelastic interactions, numerical breathers and chaotic wave fields for a focusing Kundu–Eckhaus equation in a nonlinear optical fiber (2019) (0)
- Bell-polynomial approach and soliton solutions for the Zhiber–Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation (2012) (0)
- X-type Soliton, Resonance Y-type Soliton and Hybrid Solutions of a (2+1)-dimensional Hirota-Satsuma-Ito System for the Shallow Water Waves (2021) (0)
- Reductions and Solutions of Two Types of Coupled Nonlinear Evolution Equations in Optical Fibers and Fluid Dynamics (2011) (0)
- Dynamic behavior of the (3+1)-dimensional generalized Johnson model in a dusty plasma (2014) (0)
- Truncated Painlevé Expansion with Symbolic Computation for a General Kadomtsev-Petviashvili Equation with Variable Coefficients (1996) (0)
- Solitonic and chaotic behaviors of a (3+1)-dimensional nonlinear Schrödinger equation in a magnetized electron-positron-ion plasma (2015) (0)
- Bilinear form and soliton interactions for the modified Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics (2013) (0)
- Bäcklund transformation and conservation laws for the variable-coefficient N-coupled nonlinear Schrödinger equations with symbolic computation (2011) (0)
- Analysis of the generalized (2+1)-dimensional Nizhnik–Novikov–Veselov equations with variable coefficients in an inhomogeneous medium (2017) (0)
- Dark solitons for a (3+1)-dimensional nonlinear Schrödinger equation with distributed coefficients in a diffractive nonlinear Kerr medium with anomalous dispersion (2019) (0)
- ON THE EXISTENCE OF INFINITE CONSERVATION LAWS OF A VARIABLE-COEFFICIENT KORTEWEG–DE VRIES MODEL WITH SYMBOLIC COMPUTATION (2011) (0)
- Multi-soliton Collisions and Bäcklund Transformations for the (2+1)-dimensional Modified Nizhnik–Novikov–Vesselov Equations (2015) (0)
- Vector solitons for the reduced Maxwell-Bloch equations with variable coefficients in nonlinear optics (2017) (0)
- Dark solitons and rouge waves for a (2+1)-dimensional Gross–Pitaevskii equation with time-varying trapping potential in the Bose–Einstein condensate (2016) (0)
- New Exact Solutions for a Generalized Breaking Soliton Equation (1998) (0)
- INTEGRABLE PROPERTIES AND SIMILARITY REDUCTIONS OF THE SINE-LAPLACE EQUATION FROM AN INVISCID INCOMPRESSIBLE FLUID WITH SYMBOLIC COMPUTATION (2010) (0)
- Soliton-like solutions to the (2 + 1)-dimensional integrable dispersive long wave equations (1996) (0)
- Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation by J.-K. Xue (2004) (0)
- Analytic Studies on the Helmholtz Spatial Solitons in Power-Law Optical Materials (2014) (0)
- N ov 2 01 7 An perturbation-iteration method for multi-peak solitons in nonlocal nonlinear media (2018) (0)
- Notiz: Report on the Generalized Tanh Method Extended to a Variable-Coefficient Korteweg-de Vries Equation (1997) (0)
- Rogue matter waves in a Bose-Einstein condensate with the external potential (2014) (0)
- Soliton solutions for the reduced Maxwell–Bloch system in nonlinear optics via the N-fold Darboux transformation (2012) (0)
- The Darboux transformation and soliton solutions for a new (2+1)-dimensional variant Boussinesq system in shallow water with symbolic computation (2009) (0)
- PAINLEVÉ ANALYSIS, LAX PAIR AND BÄCKLUND TRANSFORMATION FOR THE GROSS–PITAEVSKII EQUATION IN THE BOSE–EINSTEIN CONDENSATES (2011) (0)
- Dynamics of the generalized (3 + 1)-dimensional nonlinear Schröbinger equation in cosmic plasmas (2014) (0)
- On the Variable-coefficient Burgers-Hlavaty Equation (1999) (0)
- Optical breathers and multiple rogue waves via the modulation instability for a complex Ginzburg–Landau equation in the mode-locked laser operation (2019) (0)
- SOLITONS AND LOCALIZED EXCITATIONS FOR THE (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE SYSTEM VIA SYMBOLIC COMPUTATION (2010) (0)
- MORE SOLITONIC SOLUTIONS OF A NONLINEAR DISPERSIVE-DISSIPATIVE EQUATION (1999) (0)
- A Gauge-Theoretic Approach to the Chern Form of the Canonical Bundle on the Moduli Space of Stable Parabolic Bundles (2020) (0)
- Bound-state solitons for a non-linear Schrödinger system with the negatively coherent coupling in a weakly birefringent fiber (2020) (0)
- Darboux transformation and soliton solutions for the generalized coupled variable-coefficient nonlinear Schrödinger-Maxwell-Bloch system with symbolic computation (2012) (0)
- Optical-soliton and chaotic motions in a nonlocal nonlinear medium (2016) (0)
- N-soliton solutions and asymptotic analysis for a Kadomtsev–Petviashvili–Schrödinger system for water waves (2015) (0)
- KADOMTSEV-PETVIASHVILI HIERARCHY REDUCTION, SEMI-RATIONAL AND BREATHER SOLUTIONS FOR A (3+1)-DIMENSIONAL GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION IN FLUID DYNAMICS AND PLASMA PHYSICS (2022) (0)
- Painlev ´ e integrable condition, auto-Bäcklund transformations, Lax pair, breather, lump-periodic-wave and kink-wave solutions of a (3+1)-dimensional Hirota–Satsuma–Ito-like system for the shallow water waves (2021) (0)
- Bäcklund transformation and N-shock-wave solutions for a (3+1)-dimensional nonlinear evolution equation (2015) (0)
- Two-Dimensional Spatiotemporal Soliton Dynamics in the Inhomogeneous (2014) (0)
- Painlevé Analysis and Symbolic Computation for a Nonlinear Schrödinger Equation with Dissipative Perturbations (1996) (0)
This paper list is powered by the following services:
What Schools Are Affiliated With B. O. Tian?
B. O. Tian is affiliated with the following schools:
