Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method

Abstract

In this article, we study the nonlinear higher order of extended KdV equation with free surface displacement. The modified exponential rational function method is used in order to find exact solutions of the extended KdV equation. As a result, various exact solutions for the equation under consideration are obtained. To illustrate the graphical behavior of the results, some of the obtained solutions are presented graphically.