Special case of a traveling wave in one model of a multicomponent medium

The Kuropatenko model for a multicomponent medium whose components are polytropic gases is considered. It is assumed that, as $x\to\pm\infty$, the multicomponent medium is in a homogeneous state with constant gas-dynamic parameters – velocity, pressure, and temperature. For the traveling wave flows, conditions similar to the Hugoniot conditions are obtained and used to uniquely determine the flow parameters for $x\to-\infty$ from the flow parameters $x\to+\infty$ and traveling wave velocity.