  We are concerned with a model of ideal compressible isentropic two-fluid
magnetohydrodynamics (MHD). Introducing an entropy-like function, we reduce the
equations of two-fluid MHD to a symmetric form which looks like the classical
MHD system written in the nonconservative form in terms of the pressure, the
velocity, the magnetic field and the entropy. This gives a number of instant
results. In particular, we conclude that all compressive extreme shock waves
exist locally in time in the limit of weak magnetic field. We write down a
condition sufficient for the local-in-time existence of current-vortex sheets
in two-fluid flows. For the 2D case and a particular equation of state, we make
the conclusion that contact discontinuities in two-fluid MHD flows exist
locally in time provided that the Rayleigh-Taylor sign condition on the jump of
the normal derivative of the pressure is satisfied at the first moment.
