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

• DOI: 10.3934/math.2021180
• Publication Date: 2021-01-08T10:44:25Z
• Authors: Mahmoud A. E. Abd...; ; Wael W. Mohammed; Meshari Alesemi; Sahar Albosaily
• Keywords: multiplicative noise; riccati-bernoulli sub-ode; sine-cosine method; 0103 physical sciences; QA1-939; exact solutions; 01 natural sciences; stochastic schrödinger equation; Mathematics

<abstract><p>We consider in this paper the stochastic nonlinear Schrödinger equation forced by multiplicative noise in the Itô 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 Schrödinger equation will be discussed. Finally, two and three-dimensional graphs for some solutions have been given to support our analysis.</p></abstract>