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.
