Zhiguo Xu

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

Weizhu Bao, Qinglin Tang, Zhiguo Xu · Journal of Computational Physics · 2012 · 107 citations

Numerical Analysis, Nonlinear Schrödinger Equation, Physics +7

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

Xuanchun Dong, Zhiguo Xu, Xiaofei Zhao · Communications in Computational Physics · 2014 · 30 citations

Numerical Analysis, Spectral Theory, Time-splitting Fourier Pseudospectral +14

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

Zhiguo Xu, Xuanchun Dong, Yongjun Yuan · Journal of Computational and Applied Mathematics · 2015 · 19 citations

Numerical Analysis, Spectral Theory, Error Estimates +6

Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials

Yue Feng, Zhiguo Xu, Jia Yin · Applied Numerical Mathematics · 2021 · 15 citations

Spectral Theory, Numerical Analysis, Engineering +5

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

Fangcheng Fan, Zhiguo Xu · Wave Motion · 2023 · 13 citations

Nonlinear Wave Propagation, Darboux–bäcklund Transformation, Backlund Transformation +2