Explicit soliton solutions to a modified coupled nonlinear Schrödinger's equation

Due to their complex nature, solving nonlinear ordinary and partial differential equations always faces many problems and difficulties. Hence, only a few methods are available for researchers to solve such important categories of equations. On the other hand, the use of some of these other techniques can only be exploited in solving specific systems. The main objective of the present research is to apply an efficient approach in a coupled nonlinear Schrödinger's equation. In this method the preselected structure for the solutions is in terms of fractions of exponential functions. As a result, several analytical solutions related to the considered model are extracted via the generalized exponential rational function method. To better describe the achievements of this article, several numerical simulations have been presented. All computations are performed using the Wolfram Mathematica.