Multi-symplectic method for generalized fifth-order KdV equation  

作　　者：胡伟鹏 邓子辰 

机构地区：[1]School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University [2]State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology

出　　处：《Chinese Physics B》2008年第11期3923-3929,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos 10572119, 10772147 and 10632030);the Doctoral Program Foundation of Education Ministry of China (Grant No 20070699028);the National Natural Science Foundation of Shaanxi Province of China (Grant No 2006A07);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment

摘　　要：This paper considers the multi-symplectic formulations of the generalized fifth-order KdV equation in Hamiltonian space. Recurring to the midpoint rule, it presents an implicit multi-symplectic scheme with discrete multi-symplectic conservation law to solve the partial differential equations which are derived from the generalized fifth-order KdV equation numerically. The results of the numerical experiments show that this multi-symplectic algorithm is good in accuracy and its long-time numerical behaviour is also perfect.This paper considers the multi-symplectic formulations of the generalized fifth-order KdV equation in Hamiltonian space. Recurring to the midpoint rule, it presents an implicit multi-symplectic scheme with discrete multi-symplectic conservation law to solve the partial differential equations which are derived from the generalized fifth-order KdV equation numerically. The results of the numerical experiments show that this multi-symplectic algorithm is good in accuracy and its long-time numerical behaviour is also perfect.

关 键 词：generalized fifth-order KdV equation MULTI-SYMPLECTIC travelling wave solution conservation law 

分 类 号：O411.1[理学—理论物理]