Ismael, Hajar F.; Okumuş, İsrafil; Aktürk, Tolga; Bulut, Hasan; Osman, M.S.

In this work, we use the (m+1/G′)-expansion method and the Adomian decomposition method to study the 3D potential Yu–Toda–Sasa–Fukuyama (3D-pYTSF) equation which has a good application in the two-layer liquid medium. For the first time, the (m+1/G′)-expansion and the Adomian decomposition methods are used to establish novel exact wave solutions and to study some numerical solutions for the 3D-pYTSF equation, respectively. Through using the analytical method, kink-type wave, singular solution and some complex solutions to the suggested equation are successfully revealed. The obtained wave solutions are represented with some figures in 3D and contour plots.