Autosolitons in trapped Bose-Einstein condensates with two- and three-bodyinelastic processes - art. no. 053603

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.