@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} }