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arXiv · 1108.2405

Algebraic bright and vortex solitons in defocusing media

Olga V. Borovkova·Yaroslav V. Kartashov·Boris A. Malomed·Lluis Torner
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Abstract

We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as [1+abs(r)]**a 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., a>D. Fundamental solitons are always stable, while multipoles and vortices are stable if the nonlinearity growth rate is large enough.

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Olga V. Borovkova, Yaroslav V. Kartashov, Boris A. Malomed, Lluis Torner. 2011-08-11. Algebraic bright and vortex solitons in defocusing media. https://doi.org/10.1364/ol.36.003088

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