Stability of two-dimensional spatial solitons in nonlocal nonlinear   media
  We discuss existence and stability of two-dimensional solitons in media with spatially nonlocal nonlinear response. We show that such systems, which include thermal nonlinearity and dipolar Bose Einstein condensates, may support a variety of stationary localized structures - including rotating spatial solitons. We also demonstrate that the stability of these structures critically depends on the spatial profile of the nonlocal response function. 
S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski