title: Spatiotemporal dissipative solitons in two-dimensional photonic lattices.
abstract: We analyze spatiotemporal dissipative solitons in two-dimensional photonic lattices in the presence of gain and loss. In the framework of the continuous-discrete cubic-quintic Ginzburg-Landau model, we demonstrate the existence of novel classes of two-dimensional spatiotemporal dissipative lattice solitons, which also include surface solitons located in the corners or at the edges of the truncated two-dimensional photonic lattice. We find the domains of existence and stability of such spatiotemporal dissipative solitons in the relevant parameter space, for both on-site and intersite lattice solitons. We show that the on-site solitons are stable in the whole domain of their existence, whereas most of the intersite solitons are unstable. We describe the scenarios of the instability-induced dynamics of dissipative solitons in two-dimensional lattices.
authors.affiliation: Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, Magurele-Bucharest 077125, Romania.
authors.forename: Dumitru
authors.initials: D
authors.lastname: Mihalache
authors.forename: Dumitru
authors.initials: D
authors.lastname: Mazilu
authors.forename: Falk
authors.initials: F
authors.lastname: Lederer
authors.forename: Yuri S
authors.initials: YS
authors.lastname: Kivshar