The traveling wave solutions of the perturbed nonlinear Schr?dinger equation and the cubic-quintic Ginzburg Landau equation using the modified (G′/G)-expansion method

摘要

In this article, we construct the traveling wave solutions involving parameters of nonlinear evolution equations, via, the perturbed nonlinear Schr?dinger equation and the nonlinear cubic-quintic Ginzburg Landau equation using the modified (G′/G)-expansion method, where G satisfies a second order linear ODE. The traveling wave solutions are expressed in terms of hyperbolic, trigonometric and rational functions. When the parameters are taken special values, the solitary waves are derived from the traveling waves.