The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (G′G)-Expansion Method
Wael W. Mohammed, Meshari Alesemi, Sahar Albosaily, Naveed Iqbal, Mahmoud El-Morshedy
Abstract
In this paper, we consider the stochastic fractional-space Kuramoto–Sivashinsky equation forced by multiplicative noise. To obtain the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation, we apply the G′G-expansion method. Furthermore, we generalize some previous results that did not use this equation with multiplicative noise and fractional space. Additionally, we show the influence of the stochastic term on the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation.
Topics & Concepts
MathematicsMultiplicative noiseMultiplicative functionSpace (punctuation)Mathematical analysisApplied mathematicsNoise (video)Computer scienceOperating systemAnalog signalDigital signal processingArtificial intelligenceSignal transfer functionComputer hardwareImage (mathematics)Fractional Differential Equations SolutionsNonlinear Dynamics and Pattern FormationComplex Systems and Time Series Analysis