Optical solitons and stability analysis of the NLSE with anti-cubic nonlinearity

In this work, the Jacobi elliptic functions are used to obtain the optical solitons for NLSE with anti-cubic nonlinearity. As a result of the operations, dark and bright optical solitons are obtained. The stability analysis for the governing equation is analyzed and investigated. The constraint conditions for the existence of soliton are also determined. Three dimensional figures and the corresponding contour plots for the obtained solutions are plotted.