Exact solutions and dynamic properties of the stochastic governing model for embedded solitons with χ2 and χ3 nonlinear susceptibilities

Abstract

This paper studies the exact solutions and dynamic properties of the stochastic governing model for embedded solitons with χ 2 and χ 3 nonlinear susceptibilities. We propose a new trial equation method to find the exact solutions of the model. We also analyze the dynamic properties of the model equation by complete discriminant system for polynomial method. In addition, we assign specific values to the parameters to prove the existence of exact solutions, and giving the two-dimensional diagrams to demonstrate the dynamical behavior of the model. The obtained abundant exact solutions are beneficial for better study of the stochastic perturbation model of optical solitons.