Multisymplectic Integrator of the Zakharov System

A multisymplectic formulation for the Zakharov system is presented. The semi-explicit multisymplectic integrator of the formulation is constructed by means of the Euler-box scheme. Numerical results on simulating the propagation of one soliton and the collision of two solitons are reported to illustrate the efficiency of the multisymplectic scheme.