Solitons and other solutions to the improved perturbed nonlinear Schrodinger equation with the dual-power law nonlinearity using different techniques

Abstract

Several different techniques via the improved sub-ODE method, the new mapping method, the new extended auxiliary equation method, the (G′/G)-expansion method and the modified simple equation method are employed in this paper for finding solitons and other solutions to the improved perturbed nonlinear Schrodinger equation with the dual-power law nonlinearity. Comparing our new results with the well-known results are given. Comparing the new solutions resulting from these different methods together with each other are also obtained. Our results in this article confirm that the five different methods are efficient techniques for analytic treatments of a wide variety of nonlinear partial differential equations in mathematical physics.