Multi-Symplectic Method for the Zakharov-Kuznetsov Equation-Reference-Cited by-同舟云学术

Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

Published:2015-01-09 Issue:1 Volume:7 Page:58-73
ISSN:2070-0733
Container-title:Advances in Applied Mathematics and Mechanics
language:en
Short-container-title:Adv. Appl. Math. Mech.

Author:

Li Haochen,Sun Jianqiang,Qin Mengzhao

Abstract

AbstractA new scheme for the Zakharov-Kuznetsov (ZK) equation with the accuracy order of is proposed. The multi-symplectic conservation property of the new scheme is proved. The backward error analysis of the new multi-symplectic scheme is also implemented. The solitary wave evolution behaviors of the Zakharov-Kunetsov equation is investigated by the new multi-symplectic scheme. The accuracy of the scheme is analyzed.

Publisher

Global Science Press

Subject

Applied Mathematics,Mechanical Engineering

Reference26 articles.

1. Numerical methods for Hamiltonian PDEs

2. Universal Geometric Condition for the Transverse Instability of Solitary Waves

3. Splitting multisymplectic integrators for Maxwell’s equations

4. Dynamics of waves and multidimensional solitons of the Zakharov–Kuznetsov equation

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. High order energy-preserving method for the space fractional Klein–Gordon-Zakharov equations;Journal of Computational Science;2024-09

2. Hydrodynamic numerical simulations based on residual cooperative neural network;Advances in Water Resources;2023-10

3. Stochastic Bifurcations of Group-Invariant Solutions for a Generalized Stochastic Zakharov–Kuznetsov Equation;International Journal of Bifurcation and Chaos;2021-03-15

4. Lie Symmetry Analysis and Exact Solutions of Generalized Fractional Zakharov-Kuznetsov Equations;Symmetry;2019-04-30

5. Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation;Advances in Applied Mathematics and Mechanics;2017-01-18