Snapshots of the evolution of the plasma density and velocity field. Panel a) represents the dependence of the plasma density on the radial coordinate for four moments in time; panel b) shows the dependence on the plasma velocity on the radial coordinate for four time moments; panel c) and panel d) illustrate the dependence of the modified density and the modified velocity, respectively, on the self-similar variable. Parameter values for this case are k = 2, B₀ = 1, ϱ_out = 3ϱ_in, β_in = 0.1, β_out = 1, and Φ₀ = 1. Black line corresponds to t = 0, red line represents the moment t = 0.5/3, green line shows the time moment 1/3, and blue line corresponds to the moment t = 0.5.