The Analytical Solutions for the Stochastic-Fractional Broer–Kaup Equations
Saleh Alshammari, Wael W. Mohammed, Sallieu Kabay Samura, Samaa Faleh
Abstract
We take into account here the stochastic-fractional Broer–Kaup equations (SFBKEs) perturbed by the multiplicative Wiener process. To get rational, hyperbolic, and elliptic stochastic solutions for SBKEs, we utilize the Jacobi elliptic function method. The derived solutions are significantly more useful and effective in comprehending various important challenging physical phenomena due to the important of SFBKEs in describing the propagation of shallow water waves. Also, we use the MATLAB Package to create 2D and 3D graphs for certain solutions of SFBKEs in order to discuss the impact of fractional order and the Wiener process on the solutions of SFBKEs.
Topics & Concepts
Multiplicative functionApplied mathematicsMathematicsOrder (exchange)Rational functionElliptic functionWiener processProcess (computing)MATLABFunction (biology)Mathematical analysisComputer scienceEconomicsBiologyFinanceOperating systemEvolutionary biologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems