Algebraic bright and vortex solitons in defocusing media |
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Authors: | Borovkova Olga V Kartashov Yaroslav V Malomed Boris A Torner Lluis |
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Institution: | ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park, Castelldefels 08860, Spain. Olga.Borovkova@icfo.es |
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Abstract: | We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as (1+|r|(α)) support one- and two-dimensional fundamental and higher-order bright solitons, as well as vortex solitons, with algebraically decaying tails. The energy flow of the solitons converges as long as nonlinearity growth rate exceeds the dimensionality, i.e., α>D. Fundamental solitons are always stable, while multipoles and vortices are stable if the nonlinearity growth rate is large enough. |
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