许志国

2026

Quantized vortex dynamics in the Ginzburg-Landau equation on the disc domain based on the reduced dynamical law

Physica D Nonlinear Phenomena

DOI

2025

Multidomain Fourier-Chebyshev Spectral Method for Computing Rogue waves in the Nonlinear Schrödinger Equation

Journal of Scientific Computing

DOI

2025

A Deep Learning Framework for Identifying Weakly Chaotic, Strongly Chaotic, Resonant and Non-resonant Orbits in the Generalized Kicked Rotator

Physica A: Statistical Mechanics and its Applications

DOI

2024

Uniform and optimal error estimates of a nested Picard integrator for the nonlinear Schrödinger equation with wave operator

Numerical Methods for Partial Differential Equations

DOI

2023

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

Wave Motion

DOI

2023

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

Nonlinear Dynamics

DOI

2023

Renormalization Group Method for Singular Perturbation Initial Value Problems with Delays

Mediterranean Journal of Mathematics

DOI

2022

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

Reports on Mathematical Physics

DOI

2021

A generalized integrable hierarchy related to the relativistic Toda lattice: Hamiltonian structure, Darboux transformation, soliton solution and conservation law

Modern Physics Letters B

DOI

2021

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

Applied Numerical Mathematics

DOI

2021

Renormalization group approach to a class of singularly perturbed delay differential equations

Communications in Nonlinear Science and Numerical Simulation

DOI

2020

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

Communications in Nonlinear Science and Numerical Simulation

DOI

2020

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

Analysis and Mathematical Physics

DOI

2020

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

Modern Physics Letters B

DOI

2019

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

Computer Physics Communications

DOI

2019

A Hierarchy of Integrable Differential-Difference Equations and Darboux Transformation

Reports on Mathematical Physics

DOI

2019

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

International Journal of Modern Physics B

DOI

2019

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

International Journal of Geometric Methods in Modern Physics

DOI

2018

Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law

Discrete and Continuous Dynamical Systems - B

DOI

2017

Higher order criterion for the nonexistence of formal first integral for nonlinear systems

DOAJ (DOAJ: Directory of Open Access Journals)

2015

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

Journal of Computational and Applied Mathematics

DOI

2014

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

Communications in Computational Physics

DOI

2014

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

Computer Physics Communications

DOI

2010

Nonexistence of formal first integrals for nonlinear systems under the case of resonance

Journal of Mathematical Physics

DOI

2010

Formal first integrals for periodic systems

Journal of Mathematical Analysis and Applications

DOI

2009

Nonexistence and partial existence of first integrals for diffeomorphisms

Applied Mathematics Letters

DOI

2009

Nonexistence of formal first integrals for general nonlinear systems under resonance

Journal of Mathematical Analysis and Applications

DOI

2008

Nonintegrability for Diffeomorphisms

Journal of Jilin University(Science Edition)

2026

Necessary conditions for existence of tensor invariants for general nonlinear dynamical systems

arXiv (Cornell University)

DOI

2024

Local first integrals for stochastic differential equations

arXiv (Cornell University)

DOI