Multi-symplectic Geometry and Preissmann Scheme for GSDBM Equation  

作　　者：WANG Jun-jie LI Sheng-ping 

机构地区：[1]Department of Mathematics, Pu'er University, Pu'er 665000, China [2]Department of Mathematics,Northwest University, Xi' an 710127, China

出　　处：《Chinese Quarterly Journal of Mathematics》2017年第2期172-180,共9页数学季刊（英文版）

基　　金：Supported by the Differential Equation Innovation Team(CXTD003,2013XYZ19)

摘　　要：The multi-symplectic geometry for the GSDBM equation is presented in this paper. The multi-symplectic formulations for the GSDBM equation are presented and the local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretization of each formulation is exemplified by the multisymplectic Preissmann scheme. The numerical experiments are given, and the results verify the efficiency of the Preissmann scheme.The multi-symplectic geometry for the GSDBM equation is presented in this paper. The multi-symplectic formulations for the GSDBM equation are presented and the local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretization of each formulation is exemplified by the multisymplectic Preissmann scheme. The numerical experiments are given, and the results verify the efficiency of the Preissmann scheme.

关 键 词：Dodd-Bullough-Mikhailov equation multi-symplectic theory Hamilton space Preissmann scheme local conservation laws 

分 类 号：O29[理学—应用数学]