The effect of multiplicative noise on the exact solutions of nonlinear Schrödinger equation
Mahmoud A. E. Abdelrahman, Wael W. Mohammed, Meshari Alesemi, Sahar Albosaily
Abstract
<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>
Topics & Concepts
MathematicsOdeMultiplicative noiseRiccati equationMultiplicative functionNonlinear systemStochastic resonanceApplied mathematicsTrigonometric functionsNonlinear Schrödinger equationTrigonometryNoise (video)Mathematical analysisSchrödinger equationDifferential equationPhysicsQuantum mechanicsComputer scienceAnalog signalComputer hardwareDigital signal processingSignal transfer functionImage (mathematics)GeometryArtificial intelligenceFractional Differential Equations SolutionsModel Reduction and Neural NetworksStatistical Mechanics and Entropy