Tao Xu

发表

Modulational instability, nonautonomous breathers and rogue waves for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas

Lei Wang, Min Li, Feng-Hua Qi, 2015 .

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

Tao Xu, Xiang-Hua Meng, B. Tian, 2007 .

General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system.

Min Li, Tao Xu, Yang Chen, 2019, Chaos.

Soliton-like solutions of a generalized variable-coefficient higher order nonlinear Schrödinger equation from inhomogeneous optical fibers with symbolic computation

Bo Tian, Tao Xu, Hai-Qiang Zhang, 2007 .

Rational solutions of the defocusing non-local nonlinear Schrödinger equation: asymptotic analysis and soliton interactions

Min Li, Tao Xu, Lingling Li, 2020, Proceedings of the Royal Society A.

Higher-order semirational solutions and W-shaped solitons for the multi-component AB system

Tao Xu, G. He, 2021 .

VARIABLE-COEFFICIENT MIURA TRANSFORMATIONS AND INTEGRABLE PROPERTIES FOR A GENERALIZED VARIABLE-COEFFICIENT KORTEWEG–de VRIES EQUATION FROM BOSE–EINSTEIN CONDENSATES WITH SYMBOLIC COMPUTATION

Tao Xu, Xiang-Hua Meng, B. Tian, 2009 .

Symbolic computation on integrable decompositions for the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas and Bose–Einstein condensates

Tao Xu, B. Tian, Yi-Tian Gao, 2007 .

Darboux transformation and soliton solutions of the semi-discrete massive Thirring model

Tao Xu, D. Pelinovsky, 2019, Physics Letters A.

Mixed interactions of localized waves in the three-component coupled derivative nonlinear Schrödinger equations

Tao Xu, Yong Chen, 2018, Nonlinear Dynamics.

Localized waves of the coupled cubic–quintic nonlinear Schrödinger equations in nonlinear optics*

Tao Xu, Yong Chen, Ji Lin, 2017 .

Mixed interactions of localized waves in the three-component coupled derivative nonlinear Schrödinger equations

Tao Xu, Yong Chen, 2017, 1711.00664.

Dynamical behaviors and soliton solutions of a generalized higher-order nonlinear Schrödinger equation in optical fibers

Lei Wang, Tao Xu, Min Li, 2015 .

Localised Nonlinear Waves in the Three-Component Coupled Hirota Equations

Tao Xu, Yong Chen, 2017 .

RAR-PINN algorithm for the data-driven vector-soliton solutions and parameter discovery of coupled nonlinear equations

Min Li, Tao Xu, Shulan Qin, 2022, ArXiv.

Analytic Multi-Solitonic Solutions of Variable-Coefficient Higher-Order Nonlinear Schrödinger Models by Modified Bilinear Method with Symbolic Computation

Tao Xu, Xiang-Hua Meng, B. Tian, 2007 .

Integrability of an N-coupled nonlinear Schrödinger system for polarized optical waves in an isotropic medium via symbolic computation.

Bo Tian, Tao Xu, Hai-Qiang Zhang, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Quantitative analysis on the bifurcations and exact travelling wave solutions of a generalized fourth-order dispersive nonlinear Schrödinger equation in Heisenberg spin chain

Lei Wang, Min Li, Tao Xu, 2021 .

A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations

Min Li, Tao Xu, Shulan Qin, 2022, Physica D: Nonlinear Phenomena.

Symbolic computation on the multi-soliton-like solutions of the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas

Tao Xu, B. Tian, Juan Li, 2007 .

Approximate analytical description for the nonlinear   -symmetric coupled-mode equations

Min Li, Tao Xu, Jian‐Jun Liu, 2020, European Journal of Physics.

Higher-order interactional solutions and rogue wave pairs for the coupled Lakshmanan–Porsezian–Daniel equations

Tao Xu, G. He, 2019, Nonlinear Dynamics.

RAR-PINN algorithm for the data-driven vector-soliton solutions and parameter discovery of coupled nonlinear equations

Min Li, Tao Xu, Shulan Qin, 2022, Physica D: Nonlinear Phenomena.

A new topological aspect in the O(n) symmetric time-dependent Ginzburg-Landau model

Tao Xu, Ying Jiang, Y. Duan, 1999 .

The topological structure of the vortices in the O(n) symmetric TDGL model

Tao Xu, Ying Jiang, Y. Duan, 1998, hep-th/9809014.

Dark-soliton dynamics in a two-species Bose–Einstein condensate with the external potential and thermal cloud effects

Tao Xu, B. Tian, Li-Cai Liu, 2013 .

Integrable properties of a variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates and fluid dynamics

Tao Xu, Xiang-Hua Meng, Hong-Wu Zhu, 2006 .

Lax pair and Darboux transformation for multi-component modified Korteweg–de Vries equations

Cheng Zhang, Bo Tian, He Li, 2008 .

Numerical simulation of the soliton solutions for a complex modified Korteweg–de Vries equation by a finite difference method

Min Li, Tao Xu, Liqun Wang, 2021 .

Approximate bright-soliton solution of the higher-order nonlinear Schrödinger equation

Tao Xu, De-Xin Meng, Mingyu Hu, 2020, European journal of physics.

Dynamical behaviors and soliton solutions of a generalized higher-order nonlinear Schrödinger equation in optical fibers

Lei Wang, Min Li, Tao Xu, 2015, Nonlinear Dynamics.

Soliton and breather solutions of the Sasa–Satsuma equation via the Darboux transformation

Danhua Wang, Min Li, Tao Xu, 2014 .

Analytic study on bound solitons and soliton collisions for the coupled nonlinear Schrödinger equations

Tao Xu, B. Tian, Wenjun Liu, 2012 .

Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers: Soliton interaction and soliton control

Bo Tian, Tao Xu, Wenjun Liu, 2010 .

Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers

Min Li, Tao Xu, Xiang-Hua Meng, 2010 .

Integrability aspects with optical solitons of a generalized variable-coefficient N-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers

Bo Tian, Xing Lü, Tao Xu, 2010 .

SYMBOLIC COMPUTATION STUDY OF BRIGHT SOLITONIC PULSES IN THE NORMAL DISPERSION REGION

Tao Xu, B. Tian, Wenjun Liu, 2008 .

Analytic study on soliton-effect pulse compression in dispersion-shifted fibers with symbolic computation

Tao Xu, Xing Lü, Xiang-Hua Meng, 2008 .

Interactions of bright solitons for the (2+1)-dimensional coupled nonlinear Schrödinger equations from optical fibres with symbolic computation

Bo Tian, Tao Xu, Xiang-Hua Meng, 2007 .

Nonautonomous solitons and interactions for a variable-coefficient resonant nonlinear Schrödinger equation

Tao Xu, Lei Wang, Min Li, 2016, Appl. Math. Lett..

THE PAINLEVÉ INTEGRABILITY AND N-SOLITONIC SOLUTION IN TERMS OF THE WRONSKIAN DETERMINANT FOR A VARIABLE-COEFFICIENT VARIANT BOUSSINESQ MODEL OF NONLINEAR WAVES

Cheng Zhang, Yi-Tian Gao, Tao Xu, 2009 .

Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose–Einstein condensates

Bo Tian, Xing Lü, Tao Xu, 2008 .

Breather and its interaction with rogue wave of the coupled modified nonlinear Schrödinger equation

Tao Xu, Ming Wang, G. He, 2022, Chinese Physics B.

Multi-pole solutions and their asymptotic analysis of the focusing Ablowitz–Ladik equation

Min Li, Tao Xu, Xiaolu Yue, 2020, Physica Scripta.

Asymptotic Analysis and Soliton Interactions of the Multi-Pole Solutions in the Hirota Equation

Min Li, Tao Xu, Lingling Li, 2020 .

Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: Asymptotic analysis and emergence of rogue waves

Min Li, Tao Xu, Xuefeng Zhang, 2021, Physica D: Nonlinear Phenomena.

Anti-dark and Mexican-hat solitons in the Sasa-Satsuma equation on the continuous wave background

Min Li, Tao Xu, Min Li, 2014, 1408.4219.

Fully resonant soliton interactions in the Whitham–Broer–Kaup system based on the double Wronskian solutions

Tao Xu, Yi Zhang, 2013 .

Generalized (2+1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms

Bo Tian, He Li, Xing Lü, 2012 .

Darboux transformation and new solutions for the Whitham–Broer–Kaup equations

Bo Tian, Tao Xu, Hai-Qiang Zhang, 2008 .

Solitary wave pulses in optical fibers with normal dispersion and higher-order effects

Bo Tian, Tao Xu, Wenjun Liu, 2009 .

Dark and antidark soliton interactions in the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential.

Min Li, Tao Xu, Min Li, 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

Erratum to: Asymptotic behaviors of mixed-type vector double-pole solutions for the discrete coupled nonlinear Schrödinger system

Min Li, Tao Xu, Xiaolu Yue, 2021, The European Physical Journal Plus.

Asymptotic behaviors of mixed-type vector double-pole solutions for the discrete coupled nonlinear Schrödinger system

Min Li, Tao Xu, Xiaolu Yue, 2021 .

Asymptotic behaviors of mixed-type vector double-pole solutions for the discrete coupled nonlinear Schrödinger system

Min Li, Tao Xu, Xiaolu Yue, 2021, The European Physical Journal Plus.

Generation mechanism of rogue waves for the discrete nonlinear Schrödinger equation

Tao Xu, Min Li, Juan-Juan Shui, 2018, Appl. Math. Lett..

Semirational solutions to the coupled Fokas–Lenells equations

Tao Xu, Yong Chen, 2018, Nonlinear Dynamics.

Localized waves in three-component coupled nonlinear Schrödinger equation

Tao Xu, Yong Chen, 2016 .

Alfvén solitons in the coupled derivative nonlinear Schrödinger system with symbolic computation

Tao Xu, Xing Lü, Xiang-Hua Meng, 2009 .

Multi-dark soliton solutions for the (2+1)-dimensional multi-component Maccari system

Tao Xu, Yong Chen, 2018, Modern Physics Letters B.

N-SOLITON-LIKE SOLUTIONS AND BÄCKLUND TRANSFORMATIONS FOR A NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT MODIFIED KORTEWEG-DE VRIES EQUATION

Tao Xu, Xiang-Hua Meng, B. Tian, 2011 .

N-SOLITON SOLUTIONS, AUTO-BÄCKLUND TRANSFORMATIONS AND LAX PAIR FOR A NONISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION VIA SYMBOLIC COMPUTATION

Tao Xu, B. Tian, Chun-Yi Zhang, 2009 .

New Double Wronskian Solutions of the Whitham-Broer-Kaup System: Asymptotic Analysis and Resonant Soliton Interactions

Tao Xu, Feng-Hua Qi, Tao Xu, 2017, Journal of Nonlinear Mathematical Physics.

PAINLEVÉ ANALYSIS, LAX PAIR AND BÄCKLUND TRANSFORMATION FOR THE GROSS–PITAEVSKII EQUATION IN THE BOSE–EINSTEIN CONDENSATES

Feng-Hua Qi, Tao Xu, Xing Lü, 2011 .

An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation

Bo Tian, Tao Xu, Tao Xu, 2010 .

Modified Exp-Function Method and Variable-Coefficient Korteweg-De Vries Model from Bose-Einstein Condensates

Tao Xu, B. Tian, Cheng Zhang, 2010 .

Darboux transformation and analytic solutions of the discrete PT-symmetric nonlocal nonlinear Schrödinger equation

Tao Xu, Hongjun Zhang, Min Li, 2016, Appl. Math. Lett..

Optical soliton solutions for two coupled nonlinear Schrödinger systems via Darboux transformation

Bo Tian, Tao Xu, Hai-Qiang Zhang, 2007 .

Interactions of the vector breathers for the coupled Hirota system with $$4\times 4$$ Lax pair

Tao Xu, Zhong Du, Shuai Ren, 2021 .

The coupled derivative nonlinear Schrödinger equation: conservation laws, modulation instability and semirational solutions

Tao Xu, G. He, 2020 .

Soliton Interactions of the “Good” Boussinesq Equation on a Nonzero Background*

Tao Xu, Xiang-Hua Meng, Hengji Li, 2015 .

Integrability study on a generalized (2+1)-dimensional variable-coefficient Gardner model with symbolic computation.

Bo Tian, Xing Lü, Tao Xu, 2010, Chaos.

Integrable conditions and inhomogeneous soliton solutions of a coupled nonlinear Schrödinger system with distributed coefficients

Tao Xu, Tao Xu, Jingwei Liang, 2013 .

Symbolic-computation study of integrable properties for the (2+1)-dimensional Gardner equation with the two-singular-manifold method

Tao Xu, B. Tian, Juan Li, 2007, 0707.0787.

Integrable aspects and applications of a generalized inhomogeneous N-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation

Bo Tian, Yi-Tian Gao, Tao Xu, 2008 .

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

Tao Xu, Xiang-Hua Meng, B. Tian, 2007 .

New extension of the tanh-function method and application to the Whitham-Broer-Kaup shallow water model with symbolic computation

Bo Tian, Tao Xu, Hai-Qiang Zhang, 2007 .

Direct perturbation analysis on the localized waves of the modified nonlinear Schrödinger equation under nonvanishing boundary condition

Lei Wang, Min Li, Tao Xu, 2016 .

Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation

Min Li, Tao Xu, Min Li, 2018, Physica D: Nonlinear Phenomena.

Multi-Soliton-Like Solutions of a Coupled Kadomtsev-Petviashvili System

Feng-Hua Qi, Tao Xu, Rui Guo, 2011 .

Symbolic computation on integrable properties of a variable-coefficient Korteweg–de Vries equation from arterial mechanics and Bose–Einstein condensates

Bo Tian, Tao Xu, Xiang-Hua Meng, 2007 .

Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations

Bo Tian, Tao Xu, Xiang-Hua Meng, 2009 .

Symbolic computation on generalized Hopf–Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics

Tao Xu, Xiang-Hua Meng, B. Tian, 2007 .

ANALYTIC ANALYSIS ON A GENERALIZED (2+1)-DIMENSIONAL VARIABLE-COEFFICIENT KORTEWEG–DE VRIES EQUATION USING SYMBOLIC COMPUTATION

Tao Xu, B. Tian, Cheng Zhang, 2010 .

Dynamics of Alfvén solitons in inhomogeneous plasmas

Bo Tian, Xing Lü, Tao Xu, 2008 .

Vector rogue waves in the mixed coupled nonlinear Schrödinger equations

Min Li, Tao Xu, H. Liang, 2016 .

Asymmetric Rogue Waves, Breather-to-Soliton Conversion, and Nonlinear Wave Interactions in the Hirota-Maxwell-Bloch System

Lei Wang, Tao Xu, Feng-Hua Qi, 2016 .

Multi-component Wronskian solution to the Kadomtsev-Petviashvili equation

Tao Xu, Juan Li, Yi Zhang, 2012, 1208.1570.

Integrable decompositions for the (2+1)-dimensional Gardner equation

Bo Tian, Tao Xu, Hai-Qiang Zhang, 2010 .

AM-GPINN algorithm and its application in a variable-coefficient resonant nonlinear Schrödinger equation

Min Li, Tao Xu, Shulan Qin, 2023, Physica Scripta.

Bright N-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers

Bo Tian, Tao Xu, Tao Xu, 2010 .

Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation

Tao Xu, B. Tian, Juan Li, 2007, 0707.0647.

Localized nonlinear waves of the three-component coupled Hirota equation by the generalized Darboux transformation

Tao Xu, Yong Chen, 2017, 1704.07021.

Mechanisms of stationary converted waves and their complexes in the multi-component AB system

Lei Wang, Tao Xu, Wen-Rong Sun, 2021 .

Higher-Order Rogue Wave Pairs in the Coupled Cubic-Quintic Nonlinear Schrödinger Equations

Tao Xu, Yong Chen, W. Chan, 2018, Communications in Theoretical Physics.

SOLITONS AND LOCALIZED EXCITATIONS FOR THE (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE SYSTEM VIA SYMBOLIC COMPUTATION

Tao Xu, Xing Lü, Xiang-Hua Meng, 2010 .

On a generalized Kadomtsev–Petviashvili equation with variable coefficients via symbolic computation

Tao Xu, B. Tian, Chun-Yi Zhang, 2007 .

Darboux Transformation and Symbolic Computation on Multi-Soliton and Periodic Solutions for Multi-Component Nonlinear Schr¨odinger Equations in an Isotropic Medium

Tao Xu, B. Tian, Juan Li, 2009 .

Generalized (2+1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms

Tao Xu, Xing Lü, B. Tian, 2011, Nonlinear dynamics.

Interactions of the vector breathers for the coupled Hirota system with 4 × 4 Lax pair

Tao Xu, Zhong Du, Shuai Ren, 2021 .

Nonsingular localized wave solutions for the nonlocal Davey-Stewartson I equation with zero background

Min Li, Tao Xu, Yehui Huang, 2017 .

Darboux transformation and soliton solutions of the semi-discrete massive Thirring model

Tao Xu, D. Pelinovsky, X. Tao, 2019, Physics Letters A.