The modify unstable nonlinear Schrödinger dynamical equation and its optical soliton solutions

Abstract

In this research, we work on a specific class of nonlinear evolution equation which is the modify unstable nonlinear Schrodinger equation. This equation is used to describe a time evolution of disturbances in unstable media. Various solutions have been obtained. The results deduced are of varied types and include bright solution, dark solution, rational dark-bright solution, as well as cnoidal solutions. These solutions might be useful in engineering fields. Some conditions for the stability of these solutions are presented. The method used here is understandable and very powerful for solving the nonlinear problems.