New travelling wave solutions for plasma model of extended K–dV equation

Abstract

In this paper we aims to obtain new exact and analytical solutions for extended Korteweg–de Vries (K–dV) equation by using of new modified method named Riccati equation method. We introduce the extended K–dV equation with help of the reductive perturbation method, which admits a double layer structure in current plasma model. The obtained solutions are expressed by the hyperbolic, trigonometric and rational functions. Our calculations show that, considered method is straightforward to solve nonlinear partial differential equations. This method is not only powerful mathematical tool for generating more solutions of nonlinear partial differential equations but also can be applied to nonlinear partial differential equations.