Year: 2018
Author: Junjie Wang, Xiuying Wang
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 193–204
Abstract
In this paper, we consider multi-symplectic Fourier pseudospectral method for a high order integrable equation of KdV type, which describes many important physical phenomena. The multi-symplectic structure is constructed for the equation, and the conservation laws of the continuous equation are presented. The multi-symplectic discretization of each formulation is exemplified by the multi-symplectic Fourier pseudospectral scheme. The numerical experiments are given, and the results 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/10.13447/j.1674-5647.2018.03.01
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 193–204
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: the high order wave equation of KdV type multi-symplectic theory Hamilton space Fourier pseudospectral method local conservation law