The Analytical Solutions for the Stochastic-Fractional Broer–Kaup Equations

We take into account here the stochastic-fractional Broer–Kaup equations (SFBKEs) perturbed by multiplicative Wiener process. To get rational, hyperbolic, and elliptic stochastic solutions for SBKEs, we utilize Jacobi function method. The derived are significantly more useful effective in comprehending various important challenging physical phenomena due to of SFBKEs describing propagation shallow water waves. Also, use MATLAB Package create 2D 3D graphs certain order discuss impact fractional process on SFBKEs.