The Influence of Noise on the Exact Solutions of the Stochastic Fractional-Space Chiral Nonlinear Schrödinger Equation
Wael W. Mohammed, Omar Bazighifan, Mohammed Mossa Al-Sawalha, A. Othman Almatroud, Elkhateeb S. Aly
Abstract
In this paper, we consider the stochastic fractional-space Chiral nonlinear Schrödinger equation (S-FS-CNSE) derived via multiplicative noise. We obtain the exact solutions of the S-FS-CNSE by using the Riccati equation method. The obtained solutions are extremely important in the development of nuclear medicine, the entire computer industry and quantum mechanics, especially in the quantum hall effect. Moreover, we discuss how the multiplicative noise affects the exact solutions of the S-FS-CNSE. This equation has never previously been studied using a combination of multiplicative noise and fractional space.
Topics & Concepts
Multiplicative noiseMultiplicative functionRiccati equationNoise (video)Nonlinear systemNonlinear Schrödinger equationSchrödinger equationMathematicsSpace (punctuation)Exact solutions in general relativityMathematical physicsMathematical analysisPhysicsApplied mathematicsQuantum mechanicsDifferential equationComputer scienceComputer hardwareOperating systemSignal transfer functionArtificial intelligenceDigital signal processingAnalog signalImage (mathematics)Fractional Differential Equations SolutionsModel Reduction and Neural NetworksStatistical Mechanics and Entropy