Mathematica Eterna
Open Access

Abstract

Description of a wave-wave interaction model by Variational and Decomposition methods

Arun Kumar, Ram Dayal Pankaj and Chandra Prakash Gupta

In this paper, a wave-wave interaction model is proposed considering coupled Schrödinger–Korteweg– de Vries (or Sch–KdV) equation with appropriate initial values. The model is described with the help of Variational Iteration Method (VIM) and Adomian’s Decomposition Method (ADM). The exact and numerical solutions of Sch–KdV equation are obtained by VIM and ADM. The solutions are found to be in agreement to each other in both the approaches. The comparison of solution plots infers the superiority of VIM over ADM.