Solitons in conformable time-fractional Wu-Zhang system arising in coastal design

The modified exp(-Omega(zeta))-expansion function method is applied to the Wu-Zhang system with conformable time-fractional derivative to construct new analytical solutions. We have obtained some soliton-type solutions such as dark, singular and combined soliton solutions. We have seen that all solutions have provided the mentioned equation system. For the suitable value of the solutions, the 2D-3D and contour surfaces have been plotted.