Fig. 2

The bright soliton solution of Eq.(5.6) is illustrated in the form of 3D surface, 2D profile (fractional derivative impact) and contour representation for different parameter values i.e \(\sigma = 1,\ \delta = 4,\ \lambda = 1,\ \rho = 1,\ \alpha = 1,\ \theta = 1,\ \tau = 1,\ c = 0.5,\ \beta = \frac{1}{2}\), and \(\epsilon = 0.2\).