Yi–tian Gao

Yi–tian Gao's AcademicInfluence.com Rankings

Yi–tian Gao

Physics

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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

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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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What Schools Are Affiliated With Yi–tian Gao?

Yi–tian Gao is affiliated with the following schools:

Donghua University