Exact solution of perturbed nonlinear Schrödinger equation using ($$G^\prime /$$G, 1/G)-expansion method

Abstract

By constructing auxiliary equations and combining the expansion method of ( $$G^{\prime }/G,1/G$$ ), we study a class of nonlinear Schrodinger equation with perturbation terms which describes the propagation of the waves in optical metamaterials. More types of exact solutions, particularly solitary wave solutions, are obtained for the first time.