Year: 2015
Author: Junjie Wang
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 4 : pp. 379–395
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1502-m4400
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 4 : pp. 379–395
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: The higher order wave equation of KdV type Multi-symplectic theory Fourier pseudospectral method Local conservation laws.