Abstract
We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as () 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., . Fundamental solitons are always stable, while multipoles and vortices are stable if the nonlinearity growth rate is large enough.
© 2011 Optical Society of America
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