In spatially nonlocal nonlinear media the response of the medium at a particular point is not determined solely by the wave intensity at that point (as in local media), but also depends on the wave intensity in its vicinity. The nonlocal nature often results from a transport process, such as atom diffusion or heat transfer. It can also be induced by a long-range molecular interaction as in dipolar Bose Einstein Condensate or nematic liquid crystals. In this talk I will show that nonlocality may significantly affect the formation and interaction of spatial solitons. I will discuss such effects as collapse arrest and stabilization of multidimensional bright solitons as well as appearance of attractive forces between dark solitons. |
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