Exact travelling wave solutions for some complex nonlinear partial differential equations

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.