title: Two-dimensional solitons in nonlinear lattices.
abstract: We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, embedded into a linear material. We show that such lattices can stabilize two-dimensional solitons against collapse. We also found that stable multipoles and vortex solitons are also supported by nonlinear lattices, provided that the nonlinearity exhibits saturation.
authors.affiliation: ICFO-Institut de Ciencies Fotoniques, Universitat Politecnica de Catalunya, Mediterranean Technology Park, Barcelona, Spain. Yaroslav.Kartashov@icfo.es
authors.forename: Yaroslav V
authors.initials: YV
authors.lastname: Kartashov
authors.forename: Boris A
authors.initials: BA
authors.lastname: Malomed
authors.forename: Victor A
authors.initials: VA
authors.lastname: Vysloukh
authors.forename: Lluis
authors.initials: L
authors.lastname: Torner