TY - JOUR T1 - Multi-Symplectic Fourier Pseudospectral Method for a Higher 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, multi-symplectic 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.