Non-homogeneous systems of hydrodynamic type possessing Lax   representations
  We consider 1+1 - dimensional non-homogeneous systems of hydrodynamic type that possess Lax representations with movable singularities. We present a construction, which provides a wide class of examples of such systems with arbitrary number of components. In the two-component case a classification is given. 
A. V. Odesskii, V. V. Sokolov
nlin.SI