Exact solutions of Hirota–Maccari system forced by multiplicative noise in the Itô sense
Wael W. Mohammed, Hijaz Ahmad, Hamid Boulares, Fathi Khelifi, Mahmoud El-Morshedy
Abstract
In this article, the stochastic Hirota–Maccari system forced in the Itô sense by multiplicative noise is considered. We just use the He’s semi-inverse method, sine–cosine method, and Riccati–Bernoulli sub-ODE method to get new stochastic solutions which are hyperbolic, trigonometric, and rational. The major benefit of these three approaches is that they can be used to solve similar models. Furthermore, we plot 3D surfaces of analytical solutions obtained in this article by using MATLAB to illustrate the effect of multiplicative noise on the exact solution of the Hirota–Maccari method.
Topics & Concepts
OdeMultiplicative noiseMultiplicative functionMathematicsApplied mathematicsNoise (video)Sense (electronics)Trigonometric functionsTrigonometryHyperbolic functionSineMathematical analysisComputer scienceArtificial intelligenceImage (mathematics)Computer hardwareDigital signal processingGeometryElectrical engineeringAnalog signalEngineeringSignal transfer functionFractional Differential Equations SolutionsNonlinear Waves and SolitonsMathematical functions and polynomials