  In their Comment, Park, Park and Kim claimed that the approach devised in our
work Phys.Rev.Lett. {\bf 83}, 5214 (1999) reproduces the correct long-time
behaviour of the density and correlation functions of the model under
consideration because of the {\it irrelevance} of the quartic term. Park,Park
and Kim also claimed that the approach devised in Phys.Rev.Lett. {\bf 83}, 5214
(1999) is a traditional Hartree-Fock approach.
  In this Reply we argue that the results obtained with our approach are in
agreement (also the subdominant corrections) with previous numerical
calculations and are therefore beyond traditional approximative
  (e.g. Hartree-Fock) schemes. Such a striking agreement cannot, in our
opinion, be explained only by the {\it eventual} irrelevance of a quartic term.
