Propagation of a shock wave across a current sheet without reflection

Abstract

A class of exact solutions is obtained for the magnetohydrodynamic equations with plane waves which describe the solid-body motion of an ideally conducting gas in a given uniform gravitational field. The gas motion is initiated by the impact of a piston which generates a shock wave propagating through the initial equilibrium state with a decreasing density. Propagation of the shock wave across a current sheet is considered within the framework of the results obtained.