The Analytical Solutions of Stochastic-Fractional Drinfel'd-Sokolov-Wilson Equations via (G′/G)-Expansion Method

Farah M. Al-Askar, Clemente Cesarano, Wael W. Mohammed
2022 Symmetry  
Fractional–stochastic Drinfel'd–Sokolov–Wilson equations (FSDSWEs) forced by multiplicative Brownian motion are assumed. This equation is employed in mathematical physics, plasma physics, surface physics, applied sciences, and population dynamics. The (G′/G)-expansion method is utilized to find rational, hyperbolic, and trigonometric stochastic solutions for FSDSWEs. Because of the priority of FSDSWEs, the derived solutions are more useful and effective in understanding various important
more » ... l phenomena. Furthermore, we used the MATLAB package to create 3D graphs for specific solutions in order to investigate the effect of fractional-order and Brownian motions on the solutions of FSDSWEs.
doi:10.3390/sym14102105 fatcat:kq5pzxwsrjciroowesrfq2iolu