Comparison of solutions of a three-fluid system with cooling but without cosmic ray diffusion and wave damping. In this figure, γ_g = 5∕3, γ_c = 4∕3, GM = 1, a = 1, δ_c = 0.1, δ⁺ = 0. Four solutions are shown: (1) solid line: subsonic-supersonic transonic solution; (2) Long-dashed line: supersonic-subsonic transonic solution; (3) dot-dashed line: Subsonic solution; and (4) dashed line: supersonic solution. The three-fluid case is shown in the middle and right columns, with boundary conditions . For comparison, a corresponding pure thermal case is shown in the left column with boundary conditions (P_gb, ρ_b, B_b)=(1, 1, 0.25). In the top-left and top-middle panels, the orange and brown dots are the sonic points of the subsonic-supersonic and supersonic-subsonic transonic solutions, respectively.