Algebraic bright and vortex solitons in defocusing media

Olga V. Borovkova, Yaroslav V. Kartashov, Boris A. Malomed, Lluis Torner

Research output: Contribution to journalArticlepeer-review


We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as (1 +|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., ? < D. Fundamental solitons are always stable, while multipoles and vortices are stable if the nonlinearity growth rate is large enough.

Original languageEnglish
Pages (from-to)3088-3090
Number of pages3
JournalOptics Letters
Issue number16
StatePublished - 15 Aug 2011


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