Explicit Multi-Symplectic Method for a High Order Wave Equation of KdV Type

Authors

  • Junjie Wang School of Mathematics and Statistics, Pu’er University, Pu’er, Yunnan, 665000
  • Xiuying Wang Pu’er Meteorological Office of Yunnan Province, Pu’er, Yunnan, 665000

DOI:

https://doi.org/10.13447/j.1674-5647.2018.03.01

Keywords:

the high order wave equation of KdV type, multi-symplectic theory, Hamilton space, Fourier pseudospectral method, local conservation law

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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Published

2019-12-17

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Issue

Vol. 34 No. 3 (2018)

Section

Articles

How to Cite

Explicit Multi-Symplectic Method for a High Order Wave Equation of KdV Type. (2019). Communications in Mathematical Research, 34(3), 193-204. https://doi.org/10.13447/j.1674-5647.2018.03.01