Traveling wave solutions, dynamic properties and chaotic behaviors of Schrödinger equation in magneto-optic waveguide with anti-cubic nonlinearity.

In this paper, the traveling wave solutions of the model of magneto-optic waveguide with anti-cubic nonlinearity are obtained by using the complete discrimination system for polynomial method, including singular solutions, solitary wave solutions,and double periodic solutions. And under specific parameter conditions, three types of optical wave patterns are obtained to visualize the model and demonstrate their accurate physical behavior. Then the dynamic properties of Schrödinger equation in magneto-optic waveguide with anti-cubic nonlinearity are analyzed, the existence of periodic and solitary solutions is proved based on the bifurcation method. Also the Hamiltonian properties and the classification of its equilibrium points are obtained. In final, we analyze the chaotic behavior of the model under some external perturbations. • This paper use the traveling wave transformation to convert the equation into a dynamic system and obtain its Hamiltonian properties. • Based on the bifurcation method, the existence of cycles and solitary solutions is proved. • The equation is analyzed using the complete discrimination system for polynomial method, and all its traveling wave solutions are obtained. • The external perturbation terms, in order to analyze the chaotic behavior of this equation. [ABSTRACT FROM AUTHOR]