Suppression of transverse instabilities of dark solitons and their   dispersive shock waves
  We investigate the impact of nonlocality, owing to diffusive behavior, on transverse instabilities of a dark stripe propagating in a defocusing cubic medium. The nonlocal response turns out to have a strongly stabilizing effect both in the case of a single soliton input and in the regime where dispersive shock waves develop "multisoliton regime". Such conclusions are supported by the linear stability analysis and numerical simulation of the propagation. 
Andrea Armaroli, Andrea Fratalocchi, Stefano Trillo
physics.optics nlin.PS