The effect of multiplicative noise on the exact solutions of nonlinear Schrodinger equation

We consider in this paper the stochastic nonlinear Schrodinger equation forced by multiplicative noise in the Ito sense. We use two different methods as sine-cosine method and Riccati-Bernoulli sub-ODE method to obtain new rational, trigonometric and hyperbolic stochastic solutions. These stochastic solutions are of a qualitatively distinct nature based on the parameters. Moreover, the effect of the multiplicative noise on the solutions of nonlinear Schrodinger equation will be discussed. Finally, two and three-dimensional graphs for some solutions have been given to support our analysis.

Automated summary

This paper examines the stochastic nonlinear Schrodinger equation forced by multiplicative noise in the Ito sense. New rational, trigonometric and hyperbolic stochastic solutions are obtained using two different methods, and the impact of multiplicative noise on the solutions is discussed. Graphs for some solutions in two and three dimensions are provided to support the analysis.