西北师范大学学报（自然科学版）2017，Vol.53Issue(1)：36-44,52,10.DOI:10.16783/j.cnki.nwnuz.2017.01.007
一类高阶KdV 类型水波方程的多辛Preissmann格式
Multi-symplectic Preissmann scheme for a high order wave equation of KdV type
摘要
Abstract
A high order wave equation of KdV type,a typical nonlinear wave equation,is sdudied based on the multi-symplectic theory in Hamilton space.The multi-symplectic formulations of a high order wave equation of KdV type with several conservation laws are presented.The symplectic Preissmann method is used to discretize the formulations. The numerical experiment of the solitary wave is given, and the results verify the efficiency of the multi-symplectic scheme.关键词
Hamiton系统/Preissmann格式/多辛算法/高阶KdV类型水波方程Key words
Hamilton system/Preissmann scheme/multi-symplectic method/high order KdV wave equation分类
数理科学引用本文复制引用
李胜平,王俊杰..一类高阶KdV 类型水波方程的多辛Preissmann格式[J].西北师范大学学报（自然科学版）,2017,53(1):36-44,52,10.基金项目
云南省教育厅项目(2015Y490) （2015Y490）
普洱学院创新团队资助项目(CXTD003) （CXTD003）
