  We derive the asymptotic behaviour of the one point probability density for
the inhomogeneous shock slopes in the turbulent regime, when a Gaussian
fluctuating flux at origin derives the system. We also calculate the time
dependence of the $x_{f}$ beyond which there won't exists any velocity shocks
as $ x_{f}\cong t^{3/4}{(log{t})}^{1\4}$. We argue that the stationary state of
the problem would be equivalent with the long time limit of the diffusion
equation with arandom source at origin.
