phi 6-Model Expansion Method for Quintic Defocusing Schrodinger Equation

Abstract

In the present article, we obtain the families of Jacobi’s elliptic function solutions of the Quintic Defocusing Schrodinger equation (QDSE) using the phi 6-model expansion method. Since the phi 6 -model expansion method, or any similar method, has never been used in the investigated equation, the resulting exact solutions are entirely new. To comprehend the problem’s physical explanation, graphical representations in 3D, Contour, and 2D of some of the derived solutions for the free choices of the physical parameters are also given. The obtained solutions further enrich the understanding of the dynamics of QDSE.