Vs. Filho et al., Autosolitons in trapped Bose-Einstein condensates with two- and three-bodyinelastic processes - art. no. 053603, PHYS REV A, 6305(5), 2001, pp. 3603
In this paper, we consider the conditions for the existence of autosolitons
, in trapped Bose-Einstein condensates with attractive atomic interactions.
First, the variational approach is employed to estimate the stationary sol
utions for the three-dimensional Gross-Pitaevskii equation with trap potent
ial, linear atomic feeding from the thermal cloud, and two- and three-body
inelastic processes. Next, by using exact numerical calculations, we show t
hat the variational approach gives reliable analytical results. We also dis
cuss the possible observation of autosolitons in experiments with Li-7.