Abstract: The non-similar questions of the blast waves which propagate in a variable density medium with ring-magnetic field has been treated.On the basis of the analytical solution obtained by this paper the propagating of the solar flare-shock waves have been discussed.When the flare shock waves propagate into the interplanetary space,the configuration of magnetic field appears U-type,and mainly occurs in the part of the head of a shock wave (>0.5R).It has some similarity as the cosmic ray storms and the magnetic storms.Particularly noteworthy is the fact that the flare-shock waves must have higher energy than the magnetic cut-off energy E_m=(λ₁S₂/4π) j₀R_sh(λ₁,j₀ are the parameters relative to a shock wave respectively,8 is the constant proportional to the ring-magnetic field at the reference point).It is possible that the flare-shock waves propagate into the interplanetary space.The ring-closed region of the magnetic field has stronger constraint to the propagation of the shock wave.It can be qualitatively explained that after the occurrence of the solar flare-shock waves a number of geophysical disturbance phenomena are not always observable on the earth,which will be relative to the configurations of the magnetic field on the solar flare.