Fig. 4

The W-shaped soliton solution of Eq.(5.11) is illustrated in the form of 3D surface, 2D profile (fractional derivative impact) and contour representation for different parameter values i.e \(\sigma = 1,\ \delta = 2,\ \lambda = 0.8,\ \rho = 1,\ \alpha = 1.5,\ \theta = 0.2,\ \tau = -1,\ c = -2,\ \beta = 0.95\), and \(\epsilon = 0\).