Three distinct and impressive visions for the soliton solutions to the higher-order nonlinear Schrodinger equation

Abstract

In this article we will use three different schemas to establish three different visions of the soliton solutions to the higher-order nonlinear Schrodinger equation (HONSE). The first schema is the extended simple equation method (ESEM), while the second one is the Paul-Painlevé approach method (PPAM) and the third one is the Ricatti-Bernolli Sub ODE method (RBSOM). The three methods are used in the same vein and parallel to construct many new soliton solutions to this model. A comparison between the obtained results and that achieved previously has been demonstrated.