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 - <p style="text-align: justify;">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.</p>