  Although there are many results on the global solvability and the precise
description of the large time behaviors of solutions to the initial-boundary
value problems of the one-dimensional viscous radiative and reactive gas in
bounded domain with two typical types of boundary conditions, no result is
available up to now for the corresponding problems in unbounded domain. This
paper focuses on the Cauchy problem of such a system with prescribed large
initial data and the main purpose is to construct its global smooth non-vacuum
solutions around a non-vacuum constant equilibrium state and to study the
time-asymptotically nonlinear stability of such an equilibrium state. The key
point in the analysis is to deduce the uniform positive lower and upper bounds
on the specific volume and the temperature.
