Multisymplectic Fourier Pseudo-Spectral Algorithm for "Good" Boussinesq Equation

By canonical transformation,multisymplectic systems and multisymplectic conservation laws for nonlinear Good Boussinesq equation with periodic boundary conditions are obtained.Using Fourier pseudo-spectral method in spatial direction and mid-point Euler method in time direction to the multisymplectic systems,a multisymplectic Fourier pseudo-spectral scheme is constructed.At the same time,we have also obtained semi-discrete and full-discrete multisymplectic conservation laws for the scheme.Numerical experiments show that the multisymplectic Fourier pseudo-spectral scheme constructed in this paper is effective,and has excellent long-time numerical behavior.