  Nonlinear wave propagation is studied analytically in a dissipative,
self-gravitating Bose Einstein condensate, in the framework of Gross-Pitaevskii
model. The linear dispersion relation shows that the effect of dissipation is
to suppress dynamical instabilities that destabilize the system. The small
amplitude analysis using reductive perturbation technique is found to yield a
modified form of KdV equation. The soliton energy, amplitude and velocity are
found to decay with time, whereas the soliton width increases, such that the
soliton exists for a finite time only
