The generalized higher-order nonlinear Schrödinger equation: Optical solitons and other solutions in fiber optics

Abstract

In this study, generalized higher-order nonlinear Schrödinger equation is under consideration analytically. This equation is used in the field of slowly varying envelope of the electric field in the optical fiber with self-phase modulation, third-order dispersion, self-steepening and stimulated Raman scattering. For the sake of optical solitons and other solutions, we use two methods such as generalized exponential rational function (GERFM) and Sardar subequation method (SSEM). The solutions are gained in different forms such as bright, dark, singular, combo solitons, as well as hyperbolic, trigonometric and rational solutions. Some of the acquired wave solutions are characterized graphically in 3D, contour forms and 2D shapes to illustrate the dynamical behavior. A comparable analysis of this study with the available consequences in literature confirms the innovation and assortment of present accomplished wave solutions and hence enhances the great performance of the employed techniques. The offered method can be utilized to assist complicated models applicable to a wide variety of physical situations. We hope that a wide spectrum of engineering model professionals will find this study to be beneficial.