Spatiotemporal discrete Ginzburg-Landau solitons in two-dimensional photonic lattices |
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Authors: | D. Mihalache D. Mazilu F. Lederer |
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Affiliation: | 1.Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH),Magurele-Bucharest,Romania;2.Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universit?t Jena,Jena,Germany |
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Abstract: | In the framework of the continuous-discrete cubic-quintic Ginzburg-Landau model, spatiotemporal dissipative solitons which are highly confined inside two-dimensional photonic lattices are found numerically. The domains of existence in the relevant parameter space, of in-phase (unstaggered) on-site (single-peaked), inter-site (double-peaked), and flat-top-like (four-peaked) spatiotemporal dissipative solitons are determined. We show that the on-site solitons are stable in the whole domain of their existence and we find the stability domains of both inter-site and flat-top-like solitons. We describe the complex instability-induced scenarios of the dynamics of spatiotemporal discrete Ginzburg-Landau solitons in two-dimensional photonic lattices. |
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