A runnins wave in two-temperature radiation gas dynamics

A precise solution of the plane one-dimensional two-temperature radiation gas dynamics system of a running wave pattern has been found. If the radiation current $W_r$ is zero at the wave front ($W_r(0)=0$), then $W_r\equiv0$. If the radiation current $W_r\not\equiv0$, then the solution sought for exists when the value of the exponent $n$ in the heat conductivity coefficient of the gas ($\varkappa\sim T^n$, where $T$ is a temperatute of the gas) is either integer or less than unity.