  The paper is concerned with the propagation of ion-acoustic shock waves in a
collision dominated plasma. We firstly establish the existence and uniqueness
of a small-amplitude smooth travelling wave, then justify its approximation to
the shock profile of the KdV-Burgers equations in a suitable asymptotic regime
where dissipation in terms of viscosity coefficient is much stronger than
dispersion by the Debye length, and prove in the end the large time asymptotic
stability of travelling waves under suitably small smooth perturbations.
