Structure of optical soliton solutions for the generalized higher-order nonlinear Schrödinger equation with light-wave promulgation in an optical fiber

In this work, we investigate unprecedented optical closed form of solutions for the generalized higher-order nonlinear Schrödinger equation. This vital model in the optical fiber. Schrödinger equation describes the promulgation of the light-wave in an optical fiber. To achieve the desired objective of the search we apply a generalized Kudryashov method. This method is considered as one of the recent methods that developed in last decades. In this discussion, we discuss what differentiates this method from other methods in the field of finding precise solutions to non-linear partial differential equations and that debate takes place using two axes. The first is comparing the same way with the other ways ahead of this area while the second axis is comparing the solutions obtained using this method with solutions found using other methods and how these solutions converge and how much able to be utilized in that modern method (Generalized Kudryashov method).