  A time-dependent Kohn-Sham (KS)-like equation for N bosons in a trap is
generalized for the case of inelastic collisions. We derive adiabatic equations
which are used to calculate the nonlinear dynamics of the Bose-Einstein
condensate (BEC) and non-mean field corrections due to the three-body
recombination. We find that the calculated corrections are about 13 times
larger for 3D trapped dilute bose gases and about 7 times larger for 1D trapped
weakly interacting bose gases when compared with the corresponding corrections
for the ground state energy and for the collective frequencies.
