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
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)