The modified G′G-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity

In this paper, we construct the traveling wave solutions to the perturbed nonlinear Schrödinger’s equation (NLSE) with Kerr law nonlinearity by using the modified G′G-expansion method. The traveling wave solutions are expressed by the hyperbolic functions, trigonometric functions and rational functions.

► In this paper we construct the traveling wave solutions to the perturbed NLSE with Kerr law nonlinearity by using the modified G′G-expansion method.
► The traveling wave solutions are expressed by the hyperbolic functions, trigono-metric functions and rational functions involving arbitrary parameters.
► When these parameters are taken special values, the solitary waves are derived from the traveling waves.