Xianguo Geng

发表

A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures

Jiao Wei, Xianguo Geng, X. Geng, 2015, Appl. Math. Comput..

Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation

Xianguo Geng, Jianping Wu, X. Geng, 2017, Commun. Nonlinear Sci. Numer. Simul..

Explicit solutions for a hierarchy of differential-difference equations

Xianguo Geng, Dong Gong, 2014, Appl. Math. Comput..

N-soliton and quasi-periodic solutions of the KdV6 equations

Xianguo Geng, Bo Xue, X. Geng, 2012, Appl. Math. Comput..

Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation

Guoliang He, Xianguo Geng, X. Geng, 2010, Appl. Math. Comput..

A new super-extension of the KdV hierarchy

Lihua Wu, Xianguo Geng, 2010, Appl. Math. Lett..

Periodic and rational solutions of the reduced Maxwell-Bloch equations

Xin Wang, Jiao Wei, Xianguo Geng, 2017, Commun. Nonlinear Sci. Numer. Simul..

A vector generalization of Volterra type differential-difference equations

Jiao Wei, Xianguo Geng, X. Geng, 2016, Appl. Math. Lett..

Mean escape time for randomly switching narrow gates in a steady flow

Jinqiao Duan, Hui Wang, Xianguo Geng, 2020, Comput. Math. Appl..

Quasi-periodic Solutions of the Kaup–Kupershmidt Hierarchy

Guoliang He, Lihua Wu, Xianguo Geng, 2013, J. Nonlinear Sci..

A Vector General Nonlinear Schrödinger Equation with (m+n) Components

Xianguo Geng, Bo Xue, Ruomeng Li, 2019, J. Nonlinear Sci..

Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Xianguo Geng, Jing Shen, Bo Xue, 2019, Commun. Nonlinear Sci. Numer. Simul..

A super hierarchy of coupled derivative nonlinear Schrödinger equations and conservation laws

Guoliang He, Xianguo Geng, Yunyun Zhai, 2014, Commun. Nonlinear Sci. Numer. Simul..

Darboux and Bäcklund transformations of the bidirectional Sawada-Kotera equation

Xianguo Geng, Yunling Ma, X. Geng, 2012, Appl. Math. Comput..

Algebro-geometric Quasi-periodic Solutions to the Three-Wave Resonant Interaction Hierarchy

Lihua Wu, Guoliang He, Xianguo Geng, 2014, SIAM J. Math. Anal..

Rogue periodic waves of the sine-Gordon equation

Xianguo Geng, Ruomeng Li, X. Geng, 2020, Appl. Math. Lett..

Rational solutions for a (3+1)-dimensional nonlinear evolution equation

Jiao Wei, Xianguo Geng, Xin Wang, 2020, Commun. Nonlinear Sci. Numer. Simul..

A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions

Xianguo Geng, Ruomeng Li, X. Geng, 2020, Commun. Nonlinear Sci. Numer. Simul..

Exact solutions of a negative matrix AKNS system with a Hermitian symmetric space

Jing Shen, Xianguo Geng, Bo Xue, 2019, Appl. Math. Lett..

A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures

Jiao Wei, Xianguo Geng, 2018, Appl. Math. Lett..

A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure

Xianguo Geng, Bo Xue, Ruomeng Li, 2015, Appl. Math. Lett..

The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation

Huan Liu, Xianguo Geng, X. Geng, 2018, J. Nonlinear Sci..

The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws

Guoliang He, Lihua Wu, Xianguo Geng, 2013, Appl. Math. Comput..

Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation

Xianguo Geng, Kedong Wang, Mingming Chen, 2021 .

An integrable generalized Korteweg-de Vries equation with pseudo-peakons

Xianguo Geng, Kedong Wang, Ruomeng Li, 2021, Appl. Math. Lett..

A Degasperis-Procesi equation II with multi-peakon solutions

Xianguo Geng, Bo Xue, Huiling Du, 2021, Appl. Math. Lett..

Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation

Xianguo Geng, X. Geng, 2021 .

Explicit Solutions of the Coupled Bogoyavlensky Lattice 1(2) Hierarchy

Xianguo Geng, Bo Xue, Wei Liu, 2021 .

Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation

Xianguo Geng, Cewen Cao, X. Geng, 1999 .

Algebro-geometric solutions of the coupled modified Korteweg–de Vries hierarchy

Xianguo Geng, Hui-Hui Dai, H. Dai, 2014 .

Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations

Xianguo Geng, X. Geng, 2003 .

Algebro–geometric constructions of the discrete Ablowitz–Ladik flows and applications

Xianguo Geng, Hui-Hui Dai, Cewen Cao, 2003 .

An integrable extension of TD hierarchy and generalized bi-Hamiltonian structures

Xianguo Geng, Huan Liu, 2015 .

Decomposition to the modified Jaulent–Miodek hierarchy

Xianguo Geng, Jinbing Chen, 2006 .

A finite-dimensional integrable system associated with the three-wave interaction equations

Xianguo Geng, X. Geng, Yongtang Wu, 1999 .

N-soliton solution and its Wronskian form of a (3+1)-dimensional nonlinear evolution equation

Xianguo Geng, X. Geng, Yunling Ma, 2007 .

Algebro-Geometric Solution to the Modified Kadomtsev-Petviashvili Equation

Xianguo Geng, Jinbing Chen, 2005 .

Constructing periodic wave solutions of nonlinear equations by Hirota bilinear method

Xianguo Geng, Engui Fan, H. Dai, 2006 .

Trace formula and new form of N-soliton to the Gerdjikov–Ivanov equation

Xianguo Geng, Junyi Zhu, X. Geng, 2018 .

Two hierarchies of new nonlinear evolution equations associated with 3 × 3 matrix spectral problems

Xianguo Geng, Dianlou Du, 2006 .

A generalized Hirota–Satsuma coupled Korteweg–de Vries equation and Miura transformations

Xianguo Geng, Xing-Biao Hu, Si-Ming Zhu, 1999 .

Quasi-periodic solutions to the hierarchy of four-component Toda lattices

Jiao Wei, Xianguo Geng, X. Geng, 2016 .

Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions

Xianguo Geng, Cewen Cao, X. Geng, 2001 .

DARBOUX TRANSFORMATION OF THE DISCRETE ABLOWITZ–LADIK EIGENVALUE PROBLEM

Xianguo Geng, X. Geng, 1989 .

A nonconfocal generator of involutive systems and three associated soliton hierarchies

Xianguo Geng, Cewen Cao, 1991 .

Darboux transformations for a matrix long‐wave–short‐wave equation and higher‐order rational rogue‐wave solutions

Xianguo Geng, Bo Xue, Ruomeng Li, 2019, Mathematical Methods in the Applied Sciences.

Hirota bilinear approach to a new integrable differential-difference system

Xianguo Geng, Xing-Biao Hu, X. Geng, 1999 .

Generalized Bilinear Differential Operators Application in a (3+1)-Dimensional Generalized Shallow Water Equation

Xianguo Geng, Xiuzhi Xing, X. Geng, 2015 .

Some new integrable nonlinear evolution equations and Darboux transformation

Xianguo Geng, X. Geng, Guoliang He, 2010 .

New Finite-Dimensional Completely Integrable Systems Associated with the Sine-Gordon Equation

Xianguo Geng, Hui-Hui Dai, H. Dai, 1999 .

Decomposition of the Discrete Ablowitz–Ladik Hierarchy

Xianguo Geng, Junyi Zhu, H. Dai, 2007 .

Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations

Xianguo Geng, X. Geng, H. Tam, 1999 .

Quasiperiodic solutions of Jaulent-Miodek equations with a negative flow

Xianguo Geng, Bo Xue, Fang Li, 2012 .

Relation between the Kadometsev–Petviashvili equation and the confocal involutive system

Xianguo Geng, Cewen Cao, X. Geng, 1999 .

Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions

Xianguo Geng, X. Geng, Guoliang He, 2011 .

Finite-band solutions of the classical Boussinesq–Burgers equations

Xianguo Geng, X. Geng, Yongtang Wu, 1999 .

Nonlinearization of the Lax pairs for discrete Ablowitz–Ladik hierarchy

Xianguo Geng, H. Dai, X. Geng, 2007 .

Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable

Xianguo Geng, Cewen Cao, X. Geng, 2002 .

Backlund Transformations of Soliton Systems from Symmetry Constraints

Xianguo Geng, Wen-Xiu Ma, 2001 .

An extension of integrable peakon equations with cubic nonlinearity

Xianguo Geng, Bo Xue, X. Geng, 2009 .

Initial‐Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half‐Line

Xianguo Geng, Junyi Zhu, X. Geng, 2015 .

Coupled Camassa–Holm equations, N-peakons and infinitely many conservation laws

Xianguo Geng, X. Geng, Hui Wang, 2013 .

A new Neumann type integrable system related to the coupled Harry–Dym hierarchy

Xianguo Geng, Jinbing Chen, X. Geng, 2005 .

Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy

Xianguo Geng, Hui-Hui Dai, Cewen Cao, 2001 .

A Super Camassa–Holm Equation with N‐Peakon Solutions

Xianguo Geng, Bo Xue, Lihua Wu, 2013 .

On the application of a generalized dressing method to the integration of variable-coefficient coupled Hirota equations

Xianguo Geng, Hui-Hui Dai, Ting Su, 2009 .

On quasi-periodic solutions of the 2+1 dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation

Xianguo Geng, Cewen Cao, X. Geng, 1999 .

Quasi-periodic solutions for some 2+1-dimensional discrete models

Xianguo Geng, H. Dai, X. Geng, 2003 .

Quasi-periodic solutions to the two-component nonlinear Klein–Gordon equation

Xianguo Geng, X. Geng, Guoliang He, 2013 .

A three-component generalization of Camassa–Holm equation with N-peakon solutions

Xianguo Geng, Bo Xue, X. Geng, 2011 .

Initial–boundary problems for the vector modified Korteweg–de Vries equation via Fokas unified transform method

Xianguo Geng, X. Geng, Huan Liu, 2016 .

A Hierarchy of New Nonlinear Differential-Difference Equations(General)

Xianguo Geng, Hui-Hui Dai, H. Dai, 2006 .

Darboux transformation for a generalized Hirota-Satsuma coupled Korteweg-de Vries equation.

Xianguo Geng, X. Geng, Guoliang He, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

Lax matrix and a generalized coupled KdV hierarchy

Xianguo Geng, Xuemei Li, X. Geng, 2003 .