New exact solutions to the dual-core optical fibers

Abstract

In this article, new exact solutions of the dual-core optical fibers model are determined by using the Riccati–Bernoulli sub-ODE method. As a result, rational, trigonometric, hyperbolic and exponential functions and a variety of special solutions like kink-shaped, bell-type soliton solutions are established. We also consider the linear stability analysis for the dual-core optical fibers model. We also plot the 3D graphs for some selected solutions with the aid of the MATLAB software. We finally compare our results with the other methods and show that the Riccati–Bernoulli sub-ODE method is superior to other methods.