Multisymplectic geometry, local conservation laws and Fourier pseudospectral discretization for the “good” Boussinesq equation

Abstract

The multisymplectic geometry for the “good” Boussinesq Equation is presented in this paper. The multisymplectic form and the local energy and momentum conservation laws are derived directly from the variational principle. The multisymplectic Hamiltonian formulation is also presented. Based on the multisymplectic formulation, we investigate the corresponding multisymplectic Fourier pseudospectral discretization.