Volume 33, Issue 4
Multi-symplectic Fourier Pseudospectral Method for a Hight Order Wave Equation of KdV Type

Junjie Wang

J. Comp. Math., 33 (2015), pp. 379-395.

Published online: 2015-08

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  • Abstract

The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades. In this work, multisymplectic formulations for the higher order wave equation of KdV type are presented, and the local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretization of each formulation is calculated by the multi-symplectic Fourier pseudospectral scheme. Numerical experiments are carried out, which verify the efficiency of the Fourier pseudospectral method.

  • Keywords

The higher order wave equation of KdV type, Multi-symplectic theory, Fourier pseudospectral method, Local conservation laws.

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ynpewjj@126.com (Junjie Wang)

  • BibTex
  • RIS
  • TXT
@Article{JCM-33-379, author = {Wang , Junjie }, title = {Multi-symplectic Fourier Pseudospectral Method for a Hight Order Wave Equation of KdV Type}, journal = {Journal of Computational Mathematics}, year = {2015}, volume = {33}, number = {4}, pages = {379--395}, abstract = {

The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades. In this work, multisymplectic formulations for the higher order wave equation of KdV type are presented, and the local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretization of each formulation is calculated by the multi-symplectic Fourier pseudospectral scheme. Numerical experiments are carried out, which verify the efficiency of the Fourier pseudospectral method.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1502-m4400}, url = {http://global-sci.org/intro/article_detail/jcm/9849.html} }
TY - JOUR T1 - Multi-symplectic Fourier Pseudospectral Method for a Hight Order Wave Equation of KdV Type AU - Wang , Junjie JO - Journal of Computational Mathematics VL - 4 SP - 379 EP - 395 PY - 2015 DA - 2015/08 SN - 33 DO - http://doi.org/10.4208/jcm.1502-m4400 UR - https://global-sci.org/intro/article_detail/jcm/9849.html KW - The higher order wave equation of KdV type, Multi-symplectic theory, Fourier pseudospectral method, Local conservation laws. AB -

The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades. In this work, multisymplectic formulations for the higher order wave equation of KdV type are presented, and the local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretization of each formulation is calculated by the multi-symplectic Fourier pseudospectral scheme. Numerical experiments are carried out, which verify the efficiency of the Fourier pseudospectral method.

Junjie Wang . (2019). Multi-symplectic Fourier Pseudospectral Method for a Hight Order Wave Equation of KdV Type. Journal of Computational Mathematics. 33 (4). 379-395. doi:10.4208/jcm.1502-m4400
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