  A one-dimensional driven diffusive system with two types of particles and
nearest neighbors interactions has been considered on a finite lattice with
open boundaries. The particles can enter and leave the system from both ends of
the lattice and there is also a probability for converting the particle type at
the boundaries. We will show that on a special manifold in the parameters space
multiple shocks evolve in the system for both species of particles which
perform continuous time random walks on the lattice.
