Incoherent matter-wave solitons: Mutual self-trapping of a Bose-Einstein   condensate and its surrounding thermal cloud
  We show that a Bose-Einstein condensate and a portion of its surrounding thermal cloud can exhibit mutual self-trapping, supported by the attractive particle interactions, and not by the external confinement. This type of dynamics is characteristic of composite random-phase solitons. 
H. Buljan, M. Segev, and A. Vardi