New soliton solutions of the time fractional Drinfeld–Sokolov–Satsuma–Hirota system in dispersive water waves

Abstract

In this paper, the conformable Laplace homotopy perturbation method is used for solving time fractional coupled Drinfeld–Sokolov–Satsuma–Hirota equations. Adomian polynomial is utilized to handle nonlinear terms easily. The obtained analytical solutions of the above mentioned considered equations have been compared with that obtained by tanh method and extended tanh method numerically. An excellent agreement of results has been observed. The obtained results well establish that conformable Laplace homotopy perturbation method is reliable, efficient, and easily applicable to solve the aforesaid considered system.