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广义Zakharov-Kuznetsov方程的多辛Preissmann格式

王俊杰 王连堂 杨宽德

原子与分子物理学报2012,Vol.29Issue(6):1082-1090,9.
原子与分子物理学报2012,Vol.29Issue(6):1082-1090,9.DOI:10.3969/j.issn.1000-0364.2012.06.025

广义Zakharov-Kuznetsov方程的多辛Preissmann格式

Multi-symplectic Preissmann methods for generalized Zakharov-Kuznetsov equation

王俊杰 1王连堂 2杨宽德2

作者信息

  • 1. 普洱学院数学系,普洱665000
  • 2. 西北大学数学系,西安710127
  • 折叠

摘要

Abstract

Generalized Zakharov-Kuznetsov equation, a typical nonlinear wave equation, was sdudied based on the multi-symplectic theory in Hamilton space. The multi-symplectic formulations of generalized Zakharov-Ku-znetsov equation with several conservation laws are presented. The multi-symplectic preissmann method is used to discretize the formulations. The numerical experiment is given, and the results verify the effciency of the multi-symplectic scheme.

关键词

hamiton系统/Preissmann格式/多辛算法/广义Zakharov-Kuznetsov方程

Key words

hamilton space/ preissmann method/ multi-symplectic theory/ generalized Zakharov-Kuznetsov equation

分类

数理科学

引用本文复制引用

王俊杰,王连堂,杨宽德..广义Zakharov-Kuznetsov方程的多辛Preissmann格式[J].原子与分子物理学报,2012,29(6):1082-1090,9.

基金项目

国家自然科学基金(10371098) (10371098)

原子与分子物理学报

OA北大核心CSCDCSTPCD

1000-0364

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