Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (6): 1092-1102.

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Multi-Symplectic Fourier Pseudospectral Method for a DGH Equation

Wang Junjie1, Wang Liantang2   

  1. 1. Mathematics Department of Pu Er University, Yunnan Pu'er 665000;
    2. Mathematics Department of Northwest University, Xi'an 710127
  • Received:2016-03-18 Revised:2016-08-12 Online:2016-12-26 Published:2016-12-26
  • Supported by:

    Supported by the Natural Science Foundation of Education Department of Yunnan Province (2013Y106,2015y490) and the Pu Er University Innovation Team (CXTD003)

Abstract:

The DGH equation, an important nonlinear wave equation, has broad application prospect. With the canonical momenta, the multi-symplectic formulations for the DGH equation are presented. The multi-symplectic Fourier pseudospectral method is reviewed, and a semi-implicit scheme with certain discrete conservation laws is constructed to solve the DGH equation. The numerical experiments for DGH equation are given, showing that the multi-symplectic Fourier pseudospectral method is an efficient algorithm with excellent long-time numerical behaviors.

Key words: Hamilton system, Fourier pseudospectral method, Multi-symplectic theory, DGH equation

CLC Number: 

  • O29
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