Effects of overtaking disturbances behind the flow in CCW^1-3 approach have been included to describe the motion of cylindrical hydromagnetic shock wave in a self-gravitating rotating gas. The magnetic filed is assumed to have only constant axial (H_Zo = constant) and variable azimuthal (H_qo = r^1/2 H_z) components, taking an initial density distribution as r₀ = r'e^-lr, where r' is the density on the axis of symmetry and l is a non-dimensionalising constant. Cases of reverse trends of variation of flow variables with inclusion of e.o.d have been highlighted.