Explicit Multisymplectic Fourier Pseudospectral Scheme for the Klein–Gordon–Zakharov Equations

Applying the Fourier pseudospectral method to space derivatives and the symplectic Euler rule to time derivatives in the multisymplectic form of the Klein–Gordon–Zakharov equations, we derive an explicit multisymplectic scheme. The semi-discrete energy and momentum conservation laws are given. Some numerical experiments are carried out to show the accuracy of the numerical solutions. The performance of the scheme in preserving the global energy and momentum conservation laws are also checked.