The impact of multiplicative noise on the solution of the Chiral nonlinear Schrödinger equation
Mahmoud A. E. Abdelrahman, Wael W. Mohammed
Abstract
Abstract In this paper, we consider the (1+1)-dimensional chiral nonlinear Schrödinger equation forced by multiplicative noise. We apply two different methods, namely the Riccati-Bernoulli method and He’s semi-inverse method to obtain new hyperbolic, trigonometric and rational stochastic exact solutions. Also, we show the effect of multiplicative noise on the exact solution of (1+1)-dimensional Chiral nonlinear Schrödinger equation. With the aid of Matlab release 15, some graphical representations were presented to illustrate the behavior of these solutions.
Topics & Concepts
Multiplicative noiseRiccati equationMultiplicative functionNonlinear systemNonlinear Schrödinger equationTrigonometryApplied mathematicsNoise (video)Bernoulli's principleMathematicsHyperbolic functionSchrödinger equationMathematical analysisPhysicsComputer scienceQuantum mechanicsDifferential equationDigital signal processingImage (mathematics)Signal transfer functionThermodynamicsComputer hardwareArtificial intelligenceAnalog signalFractional Differential Equations SolutionsNonlinear Waves and SolitonsModel Reduction and Neural Networks