@Article{JCM-33-4, author = {Wang, Junjie}, title = {Multi-Symplectic Fourier Pseudospectral Method for a Higher 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, 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.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1502-m4400}, url = {https://global-sci.com/article/84605/multi-symplectic-fourier-pseudospectral-method-for-a-higher-order-wave-equation-of-kdv-type} }