Spatiotemporal discrete Ginzburg-Landau solitons in two-dimensional photonic lattices

D. Mihalache; D. Mazilu; F. Lederer

doi:10.1140/epjst/e2009-01078-6

EPJ

Spatiotemporal discrete Ginzburg-Landau solitons in two-dimensional photonic lattices

D. Mihalache¹, D. Mazilu¹ and F. Lederer²

¹ Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, 077125 Magurele-Bucharest, Romania
² Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany

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.