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Stability of two-dimensional spatial solitons in nonlocal nonlinear media

S. Skupin, O. Bang, D. Edmundson, W. Krolikowski

nlin.PSarXiv:nlin/0603014

Abstract

We discuss existence and stability of two-dimensional solitons in media with spatially nonlocal nonlinear response. We show that such systems, which include thermal nonlinearity and dipolar Bose Einstein condensates, may support a variety of stationary localized structures - including rotating spatial solitons. We also demonstrate that the stability of these structures critically depends on the spatial profile of the nonlocal response function.

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