title: Algebraic bright and vortex solitons in defocusing media.
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.
authors.affiliation: ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park, Castelldefels 08860, Spain. Olga.Borovkova@icfo.es
authors.forename: Olga V
authors.initials: OV
authors.lastname: Borovkova
authors.forename: Yaroslav V
authors.initials: YV
authors.lastname: Kartashov
authors.forename: Boris A
authors.initials: BA
authors.lastname: Malomed
authors.forename: Lluis
authors.initials: L
authors.lastname: Torner