  In this paper, the large time behavior of the solutions for the Cauchy
problem to the one-dimensional compressible Navier-Stokes system with the
motion of a viscous heat-conducting perfect polytropic gas is investigated.Our
result shows that the combination of a viscous contact wave with rarefaction
waves is asymptotically stable, when the large initial disturbance of the
density, velocity and temperature belong to $H^{1}(\mathbb{R})$,
$L^{2}(\mathbb{R})\cap L^{4}(\mathbb{R})$ and $L^{2}(\mathbb{R})$, provided the
strength of the combination waves is suitably small. In addition, the initial
disturbance on the derivation of velocity and temperature belong to
$L^{2}(\mathbb{R})$ can be arbitrarily large.
