WITHDRAWN: Some families of novel solutions to a third-order nonlinear Schrödinger’s equation arising in optical communication

Abstract

This manuscript aims to employ an efficient integration method to extract novel optical solitons to an Schrödinger’s type equation. The considered model covers some existing variants of the equation in the literature. The technique used in this paper, which is based on a logarithmic transform, retrieves the ubiquitous types of traveling wave solutions based on elementary functions like exponential and trigonometric functions. The basic idea of this methodology is to reduce the differential equation from partial to ordinary and then apply a logarithmic transformation. To have a better intuition of the physical features of the solutions, several graphical representations have been added to the article. Further, we have studied the impact of existing parameters of the model on the acquired solutions by using software to represent them graphically. The acquired results are useful tools to figure out the features of nonlinear pulses in optical fiber. It should be noted that these techniques have not been utilized for solving in recent literature to the best of the author’s knowledge. Also, it is possible to extend the technique of the article in finding the analytical solution of similar models in nonlinear optics. All necessary calculations and drawings were done in MATHEMATICA software. • A third-order nonlinear Schrödinger equation with cubic term is studied. • We apply an effective technique based on a logarithmic transformation approach. • Several graphical representations have been proposed. • All calculations and drawings were done in MATHEMATICA software.