Zhiguo Xu

发表

On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime

Xiaofei Zhao, Xuanchun Dong, Zhiguo Xu, 2014 .

Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system

Zhiguo Xu, S. Shi, Kaiyin Huang, 2019, International Journal of Geometric Methods in Modern Physics.

Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system

Zhiguo Xu, S. Shi, Fangcheng Fan, 2019, International Journal of Modern Physics B.

A Hierarchy of Integrable Differential-Difference Equations and Darboux Transformation

Zhiguo Xu, S. Shi, Fangcheng Fan, 2019 .

Nonexistence and partial existence of first integrals for diffeomorphisms

Fang Liu, Shaoyun Shi, Zhiguo Xu, 2010, Appl. Math. Lett..

Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations

Zhiguo Xu, Yongjun Yuan, Xuanchun Dong, 2016, J. Comput. Appl. Math..

Projection gradient method for energy functional minimization with a constraint and its application to computing the ground state of spin-orbit-coupled Bose-Einstein condensates

Hanquan Wang, Zhiguo Xu, Zhiguo Xu, 2014, Comput. Phys. Commun..

Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation

Weizhu Bao, Qinglin Tang, Zhiguo Xu, 2013, J. Comput. Phys..

N-Fold Darboux Transformation and Soliton Solutions for The relativistic Toda Lattice Equation

Zhiguo Xu, S. Shi, Fangcheng Fan, 2020, Reports on Mathematical Physics.

Soliton, breather, rogue wave and continuum limit for the spatial discrete Hirota equation by Darboux–Bäcklund transformation

Zhiguo Xu, S. Shi, Fangcheng Fan, 2023, Nonlinear Dynamics.

Positive and negative integrable lattice hierarchies: Conservation laws and N-fold Darboux transformations

Shaoyun Shi, Fangcheng Fan, Zhiguo Xu, 2020, Commun. Nonlinear Sci. Numer. Simul..

Conservation laws and Darboux transformations for a 3-coupled integrable lattice equations

Zhiguo Xu, S. Shi, Fangcheng Fan, 2020 .

Simple high-order boundary conditions for computing rogue waves in the nonlinear Schrödinger equation

Zhiguo Xu, Pengde Wang, Jia Yin, 2020, Comput. Phys. Commun..

Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux–Bäcklund transformation

Zhiguo Xu, Fangcheng Fan, 2023, Wave Motion.

N-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation

Zhiguo Xu, S. Shi, Fangcheng Fan, 2020, Analysis and Mathematical Physics.

Formal first integrals for periodic systems

Zhiguo Xu, S. Shi, Jia Jiao, 2010 .

Nonexistence of formal first integrals for general nonlinear systems under resonance

Zhiguo Xu, S. Shi, Fang Liu, 2010 .

Local first integrals for stochastic differential equations

Zhiguo Xu, Kaiyin Huang, Wenlei Li, 2024, 2403.09074.