Stable two-dimensional solitons in nonlinear lattices

2009/02/04 by Yaroslav V. Kartashov, Boris A. Malomed, Victor A. Vysloukh +1 · 2 citations
Physics and Astronomy · #physics.optics #nlin.PS

paper · pdf · doi:10.1364/ol.34.000770

published as Optics Letters 34, 770 (2009) · 12 pages, 3 figures, to appear in Optics Letters

arxiv created 2009/02/04 · arxiv updated 2009/12/01

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 the nonlinear lattices, provided that the nonlinearity exhibits saturation.

Cited by

• Asymptotic Analysis of discrete nonlinear localised modes in a Kagome lattice
• Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schrödinger equations

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