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Multipoles and vortex multiplets in multidimensional media with\n inhomogeneous defocusing nonlinearity

2015/07/18 by Rodislav Driben, Nir Dror, Driben, Rodislav +5
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.1507.05172

openalex publication_date 2015/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We predict a variety of composite quiescent and spinning two- and\nthree-dimensional (2D and 3D) self-trapped modes in media with a repulsive\nnonlinearity whose local strength grows from center to periphery. These are 2D\ndipoles and quadrupoles, and 3D octupoles, as well as vortex-antivortex pairs\nand quadruplets. Unlike other multidimensional models, where such complex bound\nstates either do not exist or are subject to strong instabilities, these modes\nare remarkably robust in the present setting. The results are obtained by means\nof numerical methods and analytically, using the Thomas-Fermi approximation.\nThe predicted states may be realized in optical and matter-wave media with\ncontrollable cubic nonlinearities.\n

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