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

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...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 3; pp. 2970 - 2980
Main Authors Abdelrahman, Mahmoud A. E., Mohammed, Wael W., Alesemi, Meshari, Albosaily, Sahar
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
exact solutions
multiplicative noise
riccati-bernoulli sub-ode
sine-cosine method
stochastic schrödinger equation
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021180