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

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...

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Bibliographic Details
Published inJournal of computational mathematics Vol. 33; no. 4; pp. 379 - 395
Main Author Wang, Junjie
Format Journal Article
LanguageEnglish
Published Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences 01.07.2015
Subjects
KdV型
傅里叶
哈密顿函数
守恒定律
波动方程
物理现象
谱方法
高阶
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ISSN0254-9409
1991-7139
DOI10.4208/jcm.1502-m4400

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Summary: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.
Bibliography:The higher order wave equation of KdV type, Multi-symplectic theory, Fourierpseudospectral method, Local conservation laws.
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.
11-2126/O1
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1502-m4400