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Volume 34, Issue 3
Explicit Multi-Symplectic Method for a High Order Wave Equation of KdV Type

Junjie Wang & Xiuying Wang

DOI: 10.13447/j.1674-5647.2018.03.01

Commun. Math. Res., 34 (2018), pp. 193-204.

Published online: 2019-12

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30, 35A35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

pedxsxxwjj@163.com (Junjie Wang)

  • BibTex
  • RIS
  • TXT
@Article{CMR-34-193, author = {Wang , Junjie and Wang , Xiuying}, title = {Explicit Multi-Symplectic Method for a High Order Wave Equation of KdV Type}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.03.01}, url = {http://global-sci.org/intro/article_detail/cmr/13495.html} }
TY - JOUR T1 - Explicit Multi-Symplectic Method for a High Order Wave Equation of KdV Type AU - Wang , Junjie AU - Wang , Xiuying JO - Communications in Mathematical Research VL - 3 SP - 193 EP - 204 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.03.01 UR - https://global-sci.org/intro/article_detail/cmr/13495.html KW - the high order wave equation of KdV type, multi-symplectic theory, Hamilton space, Fourier pseudospectral method, local conservation law AB -

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.

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