Analytical and numerical solution of a transport equation for resonantly interacting waves in MHD for a van dar Waals gas

Abstract

In this paper, we characterized an analytical and numerical study of the resonant interaction between waves in MHD. A system of evolution equations is derived; we focus on the study of the interaction between a selected triad. The resulting evolution equation contains a dispersive term in addition to the nonlinear term and convolution term. Effects of the influence of van der Waals parameter and magnetic field on the formation and structure of solitons are studied.