  In this paper we study the deformations of bihamiltonian PDEs of hydrodynamic
type with one dependent variable. The reason we study such deformations is that
the deformed systems maintain an infinite number of commuting integrals of
motion up to a certain order in the deformation parameter. This fact suggests
that these systems could have, at least for small times, multi-solitons
solutions. Our numerical experiments confirm this hypothesis.
