Solitary wave solutions for the nonlinear Schrodinger equation with power law nonlinearity

Abstract

In this paper, the nonlinear Schr¨odinger equation with power law nonlinearity is considered. This equation admits Lax pair and is integrable. The Jacobi elliptic function approach is used to obtain solitary waves solutions. This method is applied to get the exact solutions for various nonlinear equations. 2D and 3D plots of the obtained solutions are presented. It is discovered that the solutions acquired are crucial for the explanation of a few physical issues.