Optical wave patterns of nonlinear Schrödinger equation with anti-cubic nonlinearity in optical fiber

Abstract

This paper studies the anti-cubic nonlinear Schrödinger equation which describes the nonlinear dynamics of pulse propagation in optical metamaterials. Three different types of optical soliton solutions are obtained through the complete polynomial discriminant system method, and their topological stability is analyzed. Under specific parameters, we give three-dimensional diagrams of solutions to prove the existence of solutions.

Keywords

• Optical solitons
• Nonlinear Schrödinger equation
• Complete polynomial discriminant system method