Dynamics of T=0 BCS condensates
  Fermi-surface bosonization is used to show that the long-wavelength, $T=0$, dynamics of a BCS superfluid or superconductor is described by a galilean invariant non-linear time-dependent Schr{\"o}dinger equation. This equation is of same form as the Gross-Pitaevskii equation for a Bose superfluid, but the ``wavefunction'' is {\it not} the superfluid order parameter. 
Michael Stone