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Abstract: We address the existence and stability of two-dimensional solitons in opticalor matter-wave media, which are supported by purely nonlinear lattices in theform of a periodic array of cylinders with self-focusing nonlinearity, embeddedinto a linear material. We show that such lattices can stabilizetwo-dimensional solitons against collapse. We also found that stable multipolesand vortex solitons are also supported by the nonlinear lattices, provided thatthe nonlinearity exhibits saturation.



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

Source: https://arxiv.org/



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