The effect of multiplicative noise on the exact solutions of the stochastic Burgers' equation
Wael W. Mohammed, Sahar Albosaily, Naveed Iqbal, Mahmoud El-Morshedy
Abstract
In this paper, we consider the stochastic Burgers' equation, which is forced by multiplicative noise in the Stratonovich sense. To get a new trigonometric and hyperbolic stochastic solutions, we apply exp(−φ(μ))-expansion method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the Burgers' equation by introducing some graphic representations.
Topics & Concepts
Burgers' equationMultiplicative noiseMathematicsMultiplicative functionNoise (video)TrigonometryHyperbolic functionMathematical analysisApplied mathematicsStochastic differential equationPartial differential equationComputer scienceImage (mathematics)Analog signalComputer hardwareSignal transfer functionDigital signal processingArtificial intelligenceNonlinear Waves and SolitonsFractional Differential Equations SolutionsStochastic processes and financial applications