Fig. 7

Physical dynamics of soliton solution \(|\mathcal {R}_{23}(x,t)|\) of space-time fractional modified KdV Eq (31): (a) Two-dimensional dynamics for the values \(t=0.0,~t=2.0,t=3.0\), (b) Two-dimensional dynamics for the values of fractional parameter \(\omega =0.6,~\omega =0.8,\omega =1.0\), and (c) Three-dimensional dynamics.