| 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. |
