Exact and numerical solutions of nonlinear systems of partial differential equations using exp-function method and homotopy analysis method

Abstract

In This study, we employed the Exp-function method to obtain the exact solutions of two systems of nonlinear partial differential equations the coupled Hirota-Satsuma-KdV equation and the Hirota–Satsuma coupled KdV and compare this exact solutions with corresponding numerical solution obtained by the homotopy analysis method (HAM).