  In this paper, a viscous shock wave under space-periodic perturbation of
generalized Korteweg-de Vries-Burgers equation is investigated. It is shown
that if the initial periodic perturbation around the viscous shock wave is
small, then the solution time asymptotically tends to a viscous shock wave with
a shift partially determined by the periodic oscillations. Moreover the
exponential time decay rate toward the viscous shock wave is also obtained for
some certain perturbations.
