Rayleigh Taylor instability of imploding current shell by low density plasma

The general equations are obtained, which describe the RT instability in a accelerated system of coordinates. It is shown that account of the Hall effect does not results in the stabilization of the RT instability. However, the form of the equations obtained is quite different. The main result of the present paper consist in that unlike the one-fluid MHD in the two-fluid MHD by the account of the Hall effect it is possible the analytical solution for the RT instability independently of the specific form of the density profile and functional type of p(n)