Yi–tian Gao
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Physics
Yi–tian Gao's Degrees
- PhD Physics University of California, Berkeley
- Masters Physics University of California, Berkeley
- Bachelors Physics Peking University
Why Is Yi–tian Gao Influential?
(Suggest an Edit or Addition)Yi–tian Gao'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)
- 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)
- Spherical nebulons and Bäcklund transformation for a space or laboratory un-magnetized dusty plasma with symbolic computation (2005) (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)
- Amplification of nonautonomous solitons in the Bose-Einstein condensates and nonlinear optics (2011) (112)
- Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows (2019) (108)
- Soliton management for a variable-coefficient modified Korteweg-de Vries equation. (2011) (106)
- Solitonic propagation and interaction for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. (2011) (96)
- Bound vector solitons and soliton complexes for the coupled nonlinear Schrödinger equations. (2009) (94)
- N-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg–de Vries equation (2010) (86)
- Breather and hybrid solutions for a generalized (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation for the water waves (2019) (85)
- Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system (2014) (84)
- Generalized tanh method with symbolic computation and generalized shallow water wave equation (1997) (83)
- Bilinear Bäcklund transformation, soliton and periodic wave solutions for a $$\varvec{(3 + 1)}$$(3+1)-dimensional variable-coefficient generalized shallow water wave equation (2017) (83)
- Solitons and periodic waves for the (2 + 1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation in fluid mechanics (2020) (80)
- Bilinear form, soliton, breather, lump and hybrid solutions for a ($$\varvec{2+1}$$)-dimensional Sawada–Kotera equation (2020) (77)
- Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons (2019) (74)
- Integrability, solitons, periodic and travelling waves of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles (2017) (74)
- Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg–de Vries equation in fluids (2012) (68)
- Solitary waves, breathers, and rogue waves modulated by long waves for a model of a baroclinic shear flow. (2019) (66)
- Dynamics of bound vector solitons induced by stochastic perturbations: Soliton breakup and soliton switching (2013) (64)
- Solitons for the (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation for an irrotational incompressible fluid via the Pfaffian technique (2019) (62)
- Inelastic interactions and double Wronskian solutions for the Whitham–Broer–Kaup model in shallow water (2009) (61)
- Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma (2020) (61)
- Bilinear form, solitons, breathers and lumps of a (3 + 1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation in ocean dynamics, fluid mechanics and plasma physics (2020) (58)
- Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional Broer-Kaup-Kupershmidt system in the shallow water of uniform depth (2017) (56)
- Beyond travelling waves: a new algorithm for solving nonlinear evolution equations (1996) (56)
- Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics (2021) (56)
- On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics (2019) (55)
- Solitons for a generalized sixth-order variable-coefficient nonlinear Schrödinger equation for the attosecond pulses in an optical fiber (2017) (53)
- Soliton interactions of a variable-coefficient three-component AB system for the geophysical flows (2019) (53)
- Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma (2019) (53)
- Higher-order hybrid waves for the (2 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique (2021) (52)
- Bilinear forms and solitons for a generalized sixth-order nonlinear Schrödinger equation in an optical fiber (2017) (49)
- Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber (2018) (49)
- Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations (1995) (49)
- Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation (2014) (48)
- Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics (2020) (48)
- Anti-dark solitons for a variable-coefficient higher-order nonlinear Schrödinger equation in an inhomogeneous optical fiber (2015) (48)
- New family of overturning soliton solutions for a typical breaking soliton equation (1995) (47)
- Lax pair, rogue-wave and soliton solutions for a variable-coefficient generalized nonlinear Schrödinger equation in an optical fiber, fluid or plasma (2016) (44)
- Bilinear forms and soliton solutions for a fourth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous Heisenberg ferromagnetic spin chain or an alpha helical protein (2016) (42)
- Solitons and quasi-periodic behaviors in an inhomogeneous optical fiber (2017) (42)
- Multi-soliton solutions of the forced variable-coefficient extended Korteweg–de Vries equation arisen in fluid dynamics of internal solitary waves (2011) (42)
- Multi-soliton solutions for the coupled nonlinear Schrödinger-type equations (2012) (41)
- Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation (2006) (40)
- Wronskian, Pfaffian and periodic wave solutions for a $$(2 + 1)$$(2+1)-dimensional extended shallow water wave equation (2017) (39)
- Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics (2021) (39)
- Dark solitons for a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients in an optical fiber (2017) (39)
- Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics (2016) (39)
- Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV–mKdV equation in fluids and plasmas (2012) (39)
- Integrable aspects and applications of a generalized inhomogeneous N-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation (2008) (38)
- Soliton dynamics for a nonintegrable model of light-colloid interactive fluids (2017) (38)
- New families of exact solutions to the integrable dispersive long wave equations in 2+1-dimensional spaces (1996) (37)
- Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid (2019) (37)
- Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional B-type Kadomtsev–Petviashvili equation in the fluid/plasma mechanics (2016) (37)
- Dark solitonic interaction and conservation laws for a higher-order (2 + 1) -dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction (2015) (36)
- Solitons for the (3+1)-dimensional variable-coefficient coupled nonlinear Schrödinger equations in an optical fiber (2017) (36)
- Variable-coefficient balancing-act method and variable-coefficient KdV equation from fluid dynamics and plasma physics (2001) (36)
- Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation (2021) (36)
- Odd-Soliton-Like Solutions for the Variable-Coefficient Variant Boussinesq Model in the Long Gravity Waves (2010) (36)
- Formation of vortices in a combined pressure-driven electro-osmotic flow through the insulated sharp tips under finite Debye length effects (2010) (35)
- Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas (2012) (34)
- Periodic wave, breather wave and travelling wave solutions of a (2 + 1)-dimensional B-type Kadomtsev-Petviashvili equation in fluids or plasmas (2016) (34)
- Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics (2021) (33)
- Soliton and breather interactions for a coupled system (2018) (33)
- Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves (2010) (32)
- Bäcklund transformation, infinitely-many conservation laws, solitary and periodic waves of an extended (3 + 1)-dimensional Jimbo–Miwa equation with time-dependent coefficients (2018) (32)
- Rogue waves for the generalized nonlinear Schrödinger-Maxwell-Bloch system in optical-fiber communication (2015) (32)
- Nonautonomous matter waves in a spin-1 Bose-Einstein condensate. (2014) (32)
- Lie group analysis for a higher-order Boussinesq-Burgers system (2022) (31)
- Vector bright soliton interactions of the two-component AB system in a baroclinic fluid (2020) (31)
- Ion-acoustic shocks in space and laboratory dusty plasmas: Two-dimensional and non-traveling-wave observable effects (2001) (30)
- Bilinear form, solitons, breathers, lumps and hybrid solutions for a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation (2021) (30)
- Soliton-shape-preserving and soliton-complex interactions for a (1+1)-dimensional nonlinear dispersive-wave system in shallow water (2011) (30)
- Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation (2006) (29)
- Solitons, breathers and rogue waves for a sixth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber (2017) (29)
- Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves (2019) (29)
- Solitons for a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients in an optical fiber (2018) (27)
- N-soliton solutions for the (2+1)-dimensional Hirota–Maccari equation in fluids, plasmas and optical fibers (2011) (27)
- Solitons for a (2+1)-dimensional Sawada-Kotera equation via the Wronskian technique (2017) (27)
- Solitons, Bäcklund Transformation, Lax Pair, and Infinitely Many Conservation Law for a (2+1)-Dimensional Generalised Variable-Coefficient Shallow Water Wave Equation (2015) (27)
- Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients (2017) (26)
- Extended double Wronskian solutions to the Whitham–Broer–Kaup equations in shallow water (2011) (25)
- Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg–de Vries equation for the surface waves in a strait or large channel (2021) (25)
- Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics (2020) (25)
- Rogue-wave interaction for a higher-order nonlinear Schrödinger–Maxwell–Bloch system in the optical-fiber communication (2014) (25)
- N-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation (2012) (24)
- Analytic N-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics (2009) (23)
- Rogue-wave interaction for the Heisenberg ferromagnetism system (2015) (23)
- ON THE GENERALIZED TANH METHOD FOR THE (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION (1995) (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)
- Variable-coefficient unstable nonlinear Schrödinger equation modeling electron beam plasma: Auto-Bäcklund transformation, soliton-typed and other analytical solutions (2001) (22)
- Exterior differential expression of the (1 + 1)-dimensional nonlinear evolution equation with Lax integrability (2016) (22)
- Integrability and solitons for the higher-order nonlinear Schrödinger equation with space-dependent coefficients in an optical fiber (2018) (22)
- Soliton-like, periodic wave and rational solutions for a (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid (2017) (22)
- Symbolic computation in engineering: Application to a breaking soliton equation (1997) (22)
- Auto-Bäcklund transformation and two families of analytical solutions to the (2 + 1)-dimensional soliton breaking equation (1996) (22)
- Bilinear forms and dark-soliton solutions for a fifth-order variable-coefficient nonlinear Schrödinger equation in an optical fiber (2016) (21)
- Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation (2022) (21)
- Solitons and dromion-like structures in an inhomogeneous optical fiber (2017) (21)
- Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate (2016) (21)
- Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves (2002) (21)
- Observable Solitonic Features of the Generalized Reaction Duffing Model (2002) (20)
- On a (3+1)-dimensional Boiti–Leon–Manna–Pempinelli Equation (2015) (18)
- Dark soliton interactions for a fifth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain (2016) (18)
- Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation (2000) (18)
- Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system (2012) (17)
- Elastic–inelastic-interaction coexistence and double Wronskian solutions for the Whitham–Broer–Kaup shallow-water-wave model (2011) (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)
- Certain dark-solitonic features in optical fibres (2003) (16)
- Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra (1997) (16)
- The Nth-order bright and dark solitons for the higher-order nonlinear Schrödinger equation in an optical fiber (2018) (16)
- Vector semirational rogue waves for the coupled nonlinear Schrödinger equations with the higher-order effects in the elliptically birefringent optical fiber (2018) (16)
- Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves (2011) (16)
- Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas (2003) (16)
- Rogue waves, breather-to-soliton transitions and modulational instability for the nonlinear Schrödinger equation with octic operator in an optical fiber (2017) (15)
- Multi-Soliton and Rogue-Wave Solutions of the Higher-Order Hirota System for an Erbium-Doped Nonlinear Fiber (2014) (15)
- Bilinear forms, modulational instability and dark solitons for a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber (2019) (15)
- The solitonic features of a nonintegrable (3 + 1)-dimensional Jimbo-Miwa equation☆ (2002) (15)
- Bell-polynomial application and multi-soliton solutions for the generalized variable-coefficient Drinfeld–Sokolov–Satsuma–Hirota system in fluids and plasmas (2013) (14)
- On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics (1998) (14)
- VARIABLE-COEFFICIENT BALANCING-ACT ALGORITHM EXTENDED TO A VARIABLE-COEFFICIENT MKP MODEL FOR THE ROTATING FLUIDS (2001) (14)
- Soliton Solution, Bäcklund Transformation, and Conservation Laws for the Sasa-Satsuma Equation in the Optical Fiber Communications (2010) (14)
- Bilinear forms and soliton solutions for a (2 + 1)-dimensional variable-coefficient nonlinear Schrödinger equation in an optical fiber (2020) (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)
- Darboux transformation, bright and dark-bright solitons of an N-coupled high-order nonlinear Schrödinger system in an optical fiber (2021) (13)
- Bilinear form, soliton, breather, lump and hybrid solutions for a ( )-dimensional Sawada–Kotera equation (2020) (13)
- Solitons for a (2+1)-dimensional variable-coefficient Bogoyavlensky-Konopelchenko equation in a fluid (2017) (13)
- Solitons and breather waves for a (2+1)-dimensional Sawada–Kotera equation (2017) (12)
- Oscillations in the Interactions Among Multiple Solitons in an Optical Fibre (2016) (12)
- Exact solutions for the Bogoyavlenskii coupled KdV equations (1995) (12)
- Solitons and Rogue Waves for a Higher-Order Nonlinear Schrödinger–Maxwell–Bloch System in an Erbium-Doped Fiber (2015) (12)
- SOLITON INTERACTIONS FOR THE GENERALIZED (3+1)-DIMENSIONAL BOUSSINESQ EQUATION (2012) (11)
- N-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water (2011) (10)
- Breathers, quasi-periodic and travelling waves for a generalized -dimensional Yu-Toda-Sasa-Fukayama equation in fluids (2017) (10)
- Breathers and rogue waves for an eighth-order nonlinear Schrödinger equation in an optical fiber (2017) (10)
- Extending the generalized tanh method to the generalized Hamiltonian equations: New soliton-like solutions☆ (1997) (10)
- Solitons, breathers and rogue waves for a higher-order nonlinear Schrödinger–Maxwell–Bloch system in an erbium-doped fiber system (2015) (10)
- Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves (2009) (10)
- Symbolic Computation for the Nonlinear SCHRÖDINGER Equations Relevant to the RAYLEIGH-TAYLOR Instability in the Space and Laboratory Plasma Systems (2001) (10)
- Bilinear form, bilinear Bäcklund transformation and dynamic features of the soliton solutions for a variable-coefficient (3+1)-dimensional generalized shallow water wave equation (2017) (10)
- Gauge transformation, elastic and inelastic interactions for the Whitham–Broer–Kaup shallow-water model (2012) (10)
- N-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves (2012) (9)
- Soliton and rogue-wave solutions for a (2 + 1)-dimensional fourth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain (2016) (9)
- Bilinear Bäcklund transformation, soliton and periodic wave solutions for a ( 3 + 1 ) -dimensional variable-coefficient generalized shallow water wave equation (2016) (9)
- Painlevé Analysis, Soliton Solutions and Bäcklund Transformation for Extended (2 + 1)-Dimensional Konopelchenko—Dubrovsky Equations in Fluid Mechanics via Symbolic Computation (2011) (9)
- Nonautonomous solitons in terms of the double Wronskian determinant for a variable-coefficient Gross–Pitaevskii equation in the Bose–Einstein condensate (2016) (8)
- SYMBOLIC COMPUTATION AND POSSIBLY OBSERVABLE EFFECTS FOR THE SOLITON-LIKE LIQUID WAVE PROPAGATION IN THE PRESENCE OF SURFACE TENSION (2004) (8)
- Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids (2011) (8)
- Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics (2016) (8)
- Multi-Soliton Solutions and Interaction for a Generalized Variable- Coefficient Calogero–Bogoyavlenskii–Schiff Equation (2014) (8)
- Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations (2011) (8)
- The higher-order lump, breather and hybrid solutions for the generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation in fluid mechanics (2020) (8)
- Gramian solutions and solitonic interactions of a (2+1)-dimensional Broer–Kaup–Kupershmidt system for the shallow water (2021) (8)
- Bilinear forms and soliton interactions for two generalized KdV equations for nonlinear waves (2014) (8)
- Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes (2011) (8)
- On a Variable-Coefficient Modified KP Equation and a Generalized Variable-Coefficient KP Equation with Computerized Symbolic Computation (2001) (8)
- Solitonic interaction of a variable-coefficient (2 + 1)-dimensional generalized breaking soliton equation (2013) (8)
- Dynamics of the Manakov-typed bound vector solitons with random initial perturbations (2012) (8)
- Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model (2010) (8)
- N-SOLITON-LIKE SOLUTIONS AND BÄCKLUND TRANSFORMATIONS FOR A NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT MODIFIED KORTEWEG-DE VRIES EQUATION (2011) (8)
- Analytic localized solitonic excitations for the (2+1)-dimensional variable-coefficient breaking soliton model in fluids and plasmas (2012) (7)
- Breathers and rogue waves in a Heisenberg ferromagnetic spin chain or an alpha helical protein (2017) (7)
- Rogue-wave interaction of the generalized variable-coefficient Hirota–Maxwell–Bloch system in fiber optics (2014) (7)
- Rogue-wave solutions for an inhomogeneous nonlinear system in a geophysical fluid or inhomogeneous optical medium (2016) (7)
- Three-wave resonant interactions: dark–bright–bright mixed N- and high-order solitons, breathers, and their structures (2021) (7)
- Using symbolic computation to exactly solve for the Bogoyavlenskii's generalized breaking soliton equation (1997) (7)
- VARIABLE-COEFFICIENT FORCED BURGERS SYSTEM IN NONLINEAR FLUID MECHANICS AND ITS POSSIBLY OBSERVABLE EFFECTS (2003) (7)
- Soliton-like solutions for a (2 + 1)-dimensional generalization of the shallow water wave equations (1996) (7)
- Comment on “Dust ion-acoustic shocks and holes” [Phys. Plasmas 7, 1044 (2000)] (2001) (7)
- Bäcklund Transformation and Soliton Solutions for a (3+1)-Dimensional Variable-Coefficient Breaking Soliton Equation (2016) (7)
- Higher-Order Rogue Waves for a Fifth-Order Dispersive Nonlinear Schrödinger Equation in an Optical Fibre (2015) (6)
- A SYSTEM OF THE COUPLED KORTEWEG-DE VRIES EQUATIONS AND COMPUTERIZED SYMBOLIC COMPUTATION (2001) (6)
- Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves (2011) (6)
- Symbolic Computation For The Fisher-Type Equation With Variable Coefficients (2001) (6)
- Multi-soliton and double Wronskian solutions of a (2+1))-dimensional modified Heisenberg ferromagnetic system (2014) (5)
- Higher-order rogue waves with new spatial distributions for the (2 + 1) -dimensional two-component long-wave-short-wave resonance interaction system (2016) (5)
- Breathers and rogue waves for an eighth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber (2017) (5)
- ANALYTICAL INVESTIGATION OF THE CAUDREY–DODD–GIBBON–KOTERA–SAWADA EQUATION USING SYMBOLIC COMPUTATION (2013) (5)
- Integrable Hierarchy Covering the Lattice Burgers Equation in Fluid Mechanics: N-fold Darboux Transformation and Conservation Laws (2012) (5)
- Interactions of solitons in a variable-coefficient generalized Boussinesq system in shallow water (2010) (4)
- On a generalized breaking soliton equation (1997) (4)
- COMPUTERIZED SYMBOLIC COMPUTATION FOR THE CYLINDRICAL KORTEWEG–DE VRIES EQUATION (1999) (4)
- Generalized Variable-Coefficient KP Equation (1998) (4)
- Multi-Soliton and Rational Solutions for the Extended Fifth-Order KdV Equation in Fluids (2015) (4)
- Similarity Reductions And Integrability For The Brusselator Reaction–Diffusion Model With Symbolic Computation (2003) (4)
- Bright and dark solitons for a variable-coefficient $$(2+1)$$(2+1) dimensional Heisenberg ferromagnetic spin chain equation (2018) (4)
- Solitons, Bäcklund transformation and Lax pair for a variable-coefficient generalized Boussinesq system in the shallow water (2017) (4)
- Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids (2012) (4)
- Rational solutions for a (2-1)-dimensional nonlinear model in water waves generated by the Jaulent-Miodek hierarchy (2016) (3)
- Hybrid waves for a (2 + 1)-dimensional extended shallow water wave equation (2021) (3)
- Solitonic Investigation on the General Fifth-Order Shallow Water Wave Models (2001) (3)
- Nonlinear wave solutions for an integrable sixth-order nonlinear Schrödinger equation in an optical fiber (2017) (3)
- Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended (2+1)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics (2011) (3)
- Some analytical solutions for the (2+1)-dimensional nonintegrable and integrable dispersive long wave equations (1998) (3)
- Symbolic computation on integrable decompositions for the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas and Bose–Einstein condensates (2007) (3)
- Periodic-wave solutions and asymptotic properties for a (3+1)-dimensional generalized breaking soliton equation in fluids and plasmas (2021) (3)
- Computerized Symbolic Computation For The Modified Dispersive Water Wave Equations (2001) (3)
- Compression of bright bound soliton trains in the Bose–Einstein condensates with exponentially time-dependent atomic scattering length in an expulsive parabolic potential (2012) (3)
- Nonautonomous solitons and Wronskian solutions for the (3+1)-dimensional variable-coefficient forced Kadomtsev-Petviashvili equation in the fluid or plasma (2016) (3)
- VADERMONDE-TYPE ODD-SOLITON SOLUTIONS FOR THE WHITHAM–BROER–KAUP MODEL IN THE SHALLOW WATER SMALL-AMPLITUDE REGIME (2010) (3)
- Investigation on the behaviors of the soliton solutions for a variable-coefficient generalized AB system in the geophysical flows (2017) (3)
- Observable Solitonic Features of the Generalized Reaction Duffing Model (2002) (3)
- On a variable-coefficient Korteweg–de Vries model in fluid-filled elastic tubes (2010) (3)
- Solitons and periodic waves for the (2 + 1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation in fluid mechanics (2019) (3)
- D’Alembert wave and soliton molecule of the generalized Nizhnik–Novikov–Veselov equation (2021) (3)
- DEFORMED KORTEWEG-DE VRIES EQUATION WITH SYMBOLIC COMPUTATION (2001) (3)
- Solitons and integrability for a (2+1)-dimensional generalized variable-coefficient shallow water wave equation (2017) (3)
- Lax Pair, Conservation Laws, Solitons, and Rogue Waves for a Generalised Nonlinear Schrödinger–Maxwell–Bloch System under the Nonlinear Tunneling Effect for an Inhomogeneous Erbium-Doped Silica Fibre (2016) (2)
- Multi-soliton and Pfaffian solutions of a (2 + 1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy (2012) (2)
- BÄCKLUND TRANSFORMATION AND ANALYTIC SOLUTIONS FOR A GENERALIZED VARIABLE-COEFFICIENT MODIFIED KORTEWEG–DE VRIES MODEL FROM FLUID DYNAMICS AND PLASMAS (2008) (2)
- Particular Solutions for a (3+1)-dimensional Generalized Shallow Water Wave Equation (1998) (2)
- Extension of generalized tanh method and soliton-like solutions for a set of nonlinear evolution equations (1997) (2)
- Behaviors of the modified nonlinear Schrödinger system in an inhomogeneous alpha helical protein (2017) (2)
- Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation (2015) (2)
- Compression of Bright Bound Solitons in the Bose-Einstein Condensates with Exponentially Time-Dependent Atomic Scattering Length by the Feshbach Resonance (2011) (2)
- Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice (2022) (2)
- Dark Bound Solitons and Soliton Chains for the Higher-Order Nonlinear Schrödinger Equation (2013) (2)
- THE PAINLEVÉ INTEGRABILITY AND N-SOLITONIC SOLUTION IN TERMS OF THE WRONSKIAN DETERMINANT FOR A VARIABLE-COEFFICIENT VARIANT BOUSSINESQ MODEL OF NONLINEAR WAVES (2009) (2)
- INTEGRABLE PROPERTIES FOR A GENERALIZED NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG–DE VRIES MODEL (2010) (1)
- Computerized Symbolic Computation on a Sixth-order Model for Liquid Waves in the Presence of Surface Tension or a Floating Ice (2004) (1)
- Notiz: Modification of the Generalized tanh Method with sech Function for Generalized Hamiltonian Equations (1997) (1)
- Soliton-Typed Solutions to the Generalized Cylindrical Kadomtsev-Petviashvili Equation with Variable Coefficients (1995) (1)
- Generalized tanh Method and Four Families of Soliton-Like Solutions for a Generalized Shallow Water Wave Equation (1996) (1)
- On the Variant Boussinesq Equations (1997) (1)
- Computerized symbolic computation, nonintegrable Ostrovsky's model for the oceanic or plasma environment and similarity solutions (2004) (1)
- Bilinear form and nonlinear waves of a (1+1)-dimensional generalized Boussinesq equation for the gravity waves over water surface (2022) (1)
- Integrability, solitons, periodic and travelling waves of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles (2017) (1)
- N-fold generalized Darboux transformation and breather–rogue waves on the constant/periodic background for a generalized mixed nonlinear Schrödinger equation (2022) (1)
- Analytical solving of a deformed KdV equation (1997) (1)
- Switching of bound vector solitons for the coupled nonlinear Schrödinger equations with nonhomogenously stochastic perturbations. (2012) (1)
- Nonautonomous Solitons for the Coupled Variable-Coefficient Cubic-Quintic Nonlinear Schrödinger Equations with External Potentials in the Non-Kerr Fibre (2015) (1)
- Lax pair, infinitely-many conservation laws and soliton solutions for a set of the time-dependent Whitham-Broer-Kaup equations for the shallow water (2019) (1)
- Rogue waves in baroclinic flows (2017) (1)
- Truncated Painlevé Expansion with Symbolic Computation for a General Kadomtsev-Petviashvili Equation with Variable Coefficients (1996) (0)
- Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system (2011) (0)
- Painlevé Analysis and Symbolic Computation for a Nonlinear Schrödinger Equation with Dissipative Perturbations (1996) (0)
- Solitons and dromion-like structures in an inhomogeneous optical fiber (2016) (0)
- Lie group analysis, optimal system and analytic solutions of a (3+1)-dimensional generalized Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation for the fluid flow around an offshore structure (2022) (0)
- Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas (2011) (0)
- Integrability and solitons for the higher-order nonlinear Schrödinger equation with space-dependent coefficients in an optical fiber (2018) (0)
- BÄCKLUND TRANSFORMATIONS AND LAX PAIRS FOR THE NONLINEAR KLEIN–GORDON EQUATION WITH SYMBOLIC COMPUTATION (2009) (0)
- Bilinear forms, N-soliton solutions, breathers and lumps for a (2+1)-dimensional generalized breaking soliton system (2022) (0)
- Multi-soliton solutions for the coupled nonlinear Schrödinger-type equations (2012) (0)
- Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg–de Vries equation in fluids (2011) (0)
- Soliton and rogue-wave solutions for a (2 + 1)-dimensional fourth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain (2016) (0)
- Solitons, breathers and rogue waves for a sixth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber (2017) (0)
- Notiz: A Symbolic Computation-Based Method and Two Nonlinear Evolution Equations for Water Waves (1997) (0)
- Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system (2013) (0)
- Higher-order hybrid waves for the (2 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique (2021) (0)
- Binary Darboux Transformation, Solitons and Periodic Waves for a Nonlocal Lakshmanan-Porsezian-Daniel Equation (2022) (0)
- Rogue-wave interaction for a higher-order nonlinear Schrödinger–Maxwell–Bloch system in the optical-fiber communication (2014) (0)
- Notiz: Report on the Generalized Tanh Method Extended to a Variable-Coefficient Korteweg-de Vries Equation (1997) (0)
- Painlevé analysis, auto-Bäcklund transformations, bilinear forms and soliton solutions for a (2+1)-dimensional variable-coefficient modified dispersive water-wave system in fluid mechanics (2022) (0)
- Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation by J.-K. Xue (2004) (0)
- Lax pair, rogue-wave and soliton solutions for a variable-coefficient generalized nonlinear Schrödinger equation in an optical fiber, fluid or plasma (2016) (0)
- Modified Generalized Darboux Transformation, Degenerate and Bound-State Solitons for the Lakshmanan-Porsezian-Daniel Equation in a Heisenberg Spin Chain (2022) (0)
- On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics (2019) (0)
- Painleve analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics (2021) (0)
- Rogue waves in baroclinic flows (2017) (0)
- Soliton Solutions, Bäcklund Transformation and Wronskian Solutions for the (2+1)-Dimensional Variable-Coefficient Konopelchenko–Dubrovsky Equations in Fluid Mechanics (2012) (0)
- Periodic wave, breather wave and travelling wave solutions of a (2 + 1)-dimensional B-type Kadomtsev-Petviashvili equation in fluids or plasmas (2016) (0)
- Soliton-like solutions to the (2 + 1)-dimensional integrable dispersive long wave equations (1996) (0)
- On the Variable-coefficient Burgers-Hlavaty Equation (1999) (0)
- Corrigendum to ‘Behaviors of the modified nonlinear Schrödinger system in an inhomogeneous alpha helical protein’[Superlattices and Microstructures 109 (2017) 490–503] (2020) (0)
- Analytic localized solitonic excitations for the (2+1)-dimensional variable-coefficient breaking soliton model in fluids and plasmas (2012) (0)
- WITHDRAWN: Corrigendum to ‘Dynamics of the modi ed nonlinear Schrodinger system in an inhomogeneous alpha helical protein’[Superlattices and Microstructures 109 (2017) 490-503] (2021) (0)
- Wronskian, Pfaffian and periodic wave solutions for a (2 + 1)-dimensional extended shallow water wave equation (2017) (0)
- New Exact Solutions for a Generalized Breaking Soliton Equation (1998) (0)
- Bilinear forms and solitons for a generalized sixth-order nonlinear Schrödinger equation in an optical fiber (2017) (0)
- Hybrid waves consisting of the solitons, breathers and lumps for a (2+1)-dimensional extended shallow water wave equation (2021) (0)
- Bilinear forms and soliton interactions for two generalized KdV equations for nonlinear waves (2014) (0)
- Higher-order rogue waves with new spatial distributions for the (2 + 1) -dimensional two-component long-wave-short-wave resonance interaction system (2016) (0)
- On a vortex filament with the axial velocity (2022) (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)
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