  We investigate the asymptotic behavior at time infinity of solutions close to
a non-zero constant equilibrium for the Gross-Pitaevskii (or Ginzburg-Landau
Schroedinger) equation. We prove that, in dimensions larger than 3, small
perturbations can be approximated at time infinity by the linearized evolution,
and the wave operators are homeomorphic around 0 in certain Sobolev spaces.
