The Impact of the Wiener Process on the Analytical Solutions of the Stochastic (2+1)-Dimensional Breaking Soliton Equation by Using Tanh–Coth Method
Farah M. Al‐Askar, Wael W. Mohammed, Abeer M. Albalahi, Mahmoud El-Morshedy
Abstract
The stochastic (2+1)-dimensional breaking soliton equation (SBSE) is considered in this article, which is forced by the Wiener process. To attain the analytical stochastic solutions such as the polynomials, hyperbolic and trigonometric functions of the SBSE, we use the tanh–coth method. The results provided here extended earlier results. In addition, we utilize Matlab tools to plot 2D and 3D graphs of analytical stochastic solutions derived here to show the effect of the Wiener process on the solutions of the breaking soliton equation.
Topics & Concepts
TrigonometryHyperbolic functionMathematicsSolitonStochastic processApplied mathematicsWiener processPlot (graphics)Mathematical analysisProcess (computing)PhysicsComputer scienceStatisticsQuantum mechanicsNonlinear systemOperating systemNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems