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Collisions between discrete spatiotemporal dissipative Ginzburg-Landau solitons in two-dimensional photonic lattices

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Central European Journal of Physics

Abstract

Systematic results of collisions between discrete spatiotemporal dissipative Ginzburg-Landau solitons in two-dimensional photonic lattices are reported. The generic outcomes are identified for (i) the collision of two identical solitons located in the corner, at the edge, and in the center of the photonic lattice, and for (ii) the collision of two non-identical corner and edge solitons located at different distances from the boundaries of the photonic lattice. Depending on the values of the kick (collision momentum) and of the nonlinear (cubic) gain, the collision scenarios include soliton merging, creation of an extra soliton, soliton bouncing, soliton spreading, and quasi-elastic (symmetric) interactions.

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Authors and Affiliations

  1. Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, Magurele-Bucharest, 077125, Romania

    Dumitru Mihalache & Dumitru Mazilu

  2. Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universität Jena, Max-Wien-Platz 1, D-07743, Jena, Germany

    Falk Lederer

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  1. Dumitru Mihalache
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  2. Dumitru Mazilu
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  3. Falk Lederer
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Correspondence to Dumitru Mihalache.

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Mihalache, D., Mazilu, D. & Lederer, F. Collisions between discrete spatiotemporal dissipative Ginzburg-Landau solitons in two-dimensional photonic lattices. centr.eur.j.phys. 8, 77–86 (2010). https://doi.org/10.2478/s11534-009-0078-9

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