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04/09/02 Colloquium
DR. BORIS MALOMED
Tel Aviv University
Tel Aviv University
THREE-DIMENSIONAL DOUGHNUT SOLITONS WITH AN INTRINSIC VORTICITY
Abstract: We introduce spatiotemportal spinning solitons (vortex tori) of the three-dimensional nonlinear Schroedinger equation with focusing cubic and defocusing quintic nonlinearities, which applies to the description of nonlinear media in optics, plasmas, Bose-Einstein condensates, etc. The first ever found completely stable spatiotemporal vortex solitons are demonstrated. A general conclusion is that stable spinning solitons are possible as a result of competition between focusing and defocusing nonlinearities. This conclusion is supported by discovery of similar solitons in a model with competing quadratic and self-defocusing cubic nonlinearities.