New double-periodic solutions of fractional Drinfeld-Sokolov-Wilson equation in shallow water waves

In the present article, the new exact solutions of time-fractional coupled Drinfeld-Sokolov-Wilson equations have been derived by using a new reliable analytical method. We applied a comparatively new method, viz. Jacobi elliptical function method, for finding some new exact solutions of time-fractional coupled Drinfeld-Sokolov-Wilson equations. The fractional complex transform has been used here along with the property of local fractional calculus for reduction of fractional partial differential equations to ordinary differential equations. The obtained results have been plotted here for demonstrating the nature of the solutions.