PMID: 12786297Jun 6, 2003Paper

Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D MihalacheF Lederer

Abstract

We investigate the formation of stable spatiotemporal three-dimensional (3D) solitons ("light bullets") with internal vorticity ("spin") in a bimodal system described by coupled cubic-quintic nonlinear Schrödinger equations. Two relevant versions of the model, for the linear and circular polarizations, are considered. In the former case, an important ingredient of the model are four-wave-mixing terms, which give rise to a phase-sensitive nonlinear coupling between two polarization components. Thresholds for the formation of both spinning and nonspinning 3D solitons are found. Instability growth rates of perturbation eigenmodes with different azimuthal indices are calculated as functions of the solitons' propagation constant. As a result, stability domains in the model's parameter plane are identified for solitons with the values of the spins of their components s=0 and s=1, while all the solitons with s> or =2 are unstable. The solitons with s=1 are stable only if their energy exceeds a certain critical value, so that, in typical cases, the stability region occupies approximately 25% of their existence domain. Direct simulations of the full system produce results that are in perfect agreement with the linear-stability analysis:...Continue Reading

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Citations

Jan 3, 2015·Chaos·Krzysztof B ZegadloMarek Trippenbach
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D MihalacheF Lederer
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D MihalacheB A Malomed
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vladyslav PrytulaVíctor M Pérez-García
Jul 2, 2018·Chaos·Gennadiy Burlak, Boris A Malomed
Mar 5, 2004·Physical Review Letters·Matthew S BigelowRobert W Boyd
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhiyong XuLluis Torner
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A S DesyatnikovF Lederer
Mar 24, 2005·Physical Review Letters·Yaroslav V KartashovLluis Torner
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N-C PanoiuD Mihalache
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David FeijooHumberto Michinel
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D MihalacheL Torner

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