TY - JOUR
T1 - Algebraic bright and vortex solitons in defocusing media
AU - Borovkova, Olga V.
AU - Kartashov, Yaroslav V.
AU - Malomed, Boris A.
AU - Torner, Lluis
PY - 2011/8/15
Y1 - 2011/8/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=80051752991&partnerID=8YFLogxK
U2 - 10.1364/OL.36.003088
DO - 10.1364/OL.36.003088
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AN - SCOPUS:80051752991
SN - 0146-9592
VL - 36
SP - 3088
EP - 3090
JO - Optics Letters
JF - Optics Letters
IS - 16
ER -