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Boris Malomed : Spatiotemporal optical solitons: an overview

An introduction to the topic of multi-dimensional optical solitons ("light bullets"), localized simultaneously in the direction of propagation (as temporal solitons) and in one or two transverse directions (as spatial solitons) will be given, including a review of basic theoretical and experimental results. Also considered will be connection of this topic to the problem of the creation of multidimensional solitons in Bose-Einstein condensates. In both settings (optical and BEC), the main problem is stabilization of the multidimensional solitons against the spatiotemporal collapse. The stabilization may be provided in various ways (in particular, by means of an optical lattice in BEC). The talk will partly based on a review article: B.A. Malomed, D. Mihalache, F. Wise, and L. Torner, "Spatiotemporal optical solitons", J. Optics B: Quant. Semics. Opt. 7, R53-R72 (2005).

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