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Two-dimensional solitons in nonlinear lattices

Yaroslav V. Kartashov, Boris A. Malomed, Victor A. Vysloukh, and Lluis Torner

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Abstract

We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, embedded into a linear material. We show that such lattices can stabilize two-dimensional solitons against collapse. We also found that stable multipoles and vortex solitons are also supported by nonlinear lattices, provided that the nonlinearity exhibits saturation.

© 2009 Optical Society of America

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