Solitary wave propagation and interactions for the Klein–Gordon–Zakharov equations in plasma physics

Abstract

The purpose of this paper is to show the advantages that represent the use of multisymplectic numerical methods that preserve the discrete multisymplectic conservation law in the study of solitary wave propagation and interaction for the Klein–Gordon–Zakharov equations in plasma physics. Numerical results on simulating the propagation of a single solitary wave and the interaction of two solitary waves are reported to illustrate the efficiency of the presented method.