Exact solutions of perturbed stochastic NLSE with generalized anti-cubic law nonlinearity and multiplicative white noise

Abstract

The paper retrieves the perturbed stochastic nonlinear Schrödinger equation in magneto-optic waveguides with generalized anti-cubic law nonlinearity and multiplicative noise in the Itô sense. Exact solutions are obtained with the aid of the trial equation method and the complete discriminant system for a polynomial. Compared to previous solutions, this method has achieved a broader and more comprehensive set of exact solutions. The obtained exact solutions help explain light propagation, nonlinear effects, the impact of noise on the system, and various physical processes occurring within waveguides. Some graphical simulations have been provided to demonstrate the dynamical behavior of the solutions and the impact of noise term in Itô sense.

Keywords

• Stochastic
• Multiplicative noise
• Exact solutions
• The trial equation method