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

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【作者】 WANG JUN-JIEWANG XIU-YING

【Author】 WANG JUN-JIE;WANG XIU-YING;School of Mathematics and Statistics, Pu’er University;School of Mathematics, Northwest University;Pu’er Meteorological Office of Yunnan Province;

【机构】 School of Mathematics and Statistics, Pu’er UniversitySchool of Mathematics, Northwest UniversityPu’er Meteorological Office of Yunnan Province

【摘要】 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 are constructed for the equation, and the conservation laws of the continuous equation are presented. The multisymplectic 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.

【基金】 The Innovation Team(CXTD003)of Pu’er University
  • 【DOI】10.13447/j.1674-5647.2018.03.01
  • 【分类号】O241.8
  • 【下载频次】21
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