On extracting new wave solutions to a modified nonlinear Schrödinger’s equation using two integration methods

In the present article, we have utilized two efficient techniques to obtain new optical solitons for the nonlinear Schrödinger’s equation. The advantages of the employed methods are that they are straightforward to use and able extraction of different types of solutions in single frameworks. The solutions presented in this paper evoke new applications and concepts for the considered special form of Schrödinger’s equation. Numerical simulations of some of the acquired solutions are also presented in the paper. After applying some necessary changes in these techniques, they can be implemented in solving other applied complex models arising in mathematics, physics, and applied mathematics.