MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD FOR A HIGHER ORDER WAVE EQUATION OF KDV TYPE

被引：2
|
作者：
Wang, Junjie [1 ,2 ]
机构：
[1] Pu Er Univ, Math & Stat Inst, Pu Er 665000, Peoples R China
[2] NW Univ Xian, Dept Math, Xian 710127, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2015年 / 33卷 / 04期
关键词：
The higher order wave equation of KdV type; Multi-symplectic theory; Fourier pseudospectral method; Local conservation laws; NONLINEAR SCHRODINGER-EQUATIONS; BACKWARD ERROR ANALYSIS; RUNGE-KUTTA METHODS; MULTISYMPLECTIC GEOMETRY; PERIODIC-SOLUTIONS; PREISSMANN SCHEME; HAMILTONIAN PDES; INTEGRATION; STABILITY; WATER;
D O I：
10.4208/jcm.1502-m4400
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades. In this work, multi-symplectic formulations for the higher order wave equation of KdV type 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 calculated by the multi-symplectic Fourier pseudospectral scheme. Numerical experiments are carried out, which verify the efficiency of the Fourier pseudospectral method.
引用
收藏
页码：379 / 395
页数：17
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