Optical soliton solutions to a higher-order nonlinear Schrödinger equation with Kerr law nonlinearity

Abstract

In this paper, we investigate a diverse collection of exact solutions to a version of nonlinear Schrödinger equation with Kerr law nonlinearity. These results are obtained for the equation using the generalized exponential rational function method. The graphical interpretation of the solutions is also included to demonstrate the dynamic characteristics of the achieved results. It is found that the proposed methodology is not only very simple, straightforward but also efficient and powerful. This technique discovers very diverse categories of solutions in a single framework. This feature is one of the main advantages of this method. By taking the appropriate values of existing parameters in solutions, several numerical simulations have been presented. Moreover, it can also be adopted on solving other nonlinear models in mathematical physics. The use of the paper’s method is also suggested in solving other partial equations. All symbolic calculations in this article are performed using Mathematica software.