Exact travelling wave solutions for some complex nonlinear partial differential equations

Abstract

This paper reflects the implementation of a reliable technique which is called $left(frac{G'}{G}right)$-expansion ethod for constructing exact travelling wave solutions of nonlinear partial differential equations. The proposed algorithm has been successfully tested on two two selected equations, the balance numbers of which are not positive integers namely Kundu-Eckhaus equation and Derivative nonlinear Schr"{o}dinger's equation. This method is a powerful tool for searching exact travelling solutions in closed form.