Rational solutions of a class of hydrodynamic partial differential equations via the variational iteration method

Abstract

In this paper the variational iteration method (VIM) is applied to a class of partial differential equations, which include as special cases the Burgers, Korteweg-de Vries, and Kawahara-Korteweg-de Vries equations. A general form of exact rational solutions of these equations is obtained. This study highlights the simplicity and efficiency of the VIM. The rational solutions are obtained directly and in a straightforward manner.