title: Shaping soliton properties in Mathieu lattices.
abstract: We address basic properties and stability of two-dimensional solitons in photonic lattices induced by the nondiffracting Mathieu beams. Such lattices allow for smooth topological transformation of radially symmetric Bessel lattices into quasi-one-dimensional periodic ones. The transformation of lattice topology drastically affects the properties of ground-state and dipole-mode solitons, including their shape, stability, and transverse mobility.
authors.affiliation: Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Barcelona, Spain. Yaroslav.Kartashov@icfo.es
authors.forename: Yaroslav V
authors.initials: YV
authors.lastname: Kartashov
authors.forename: Alexey A
authors.initials: AA
authors.lastname: Egorov
authors.forename: Victor A
authors.initials: VA
authors.lastname: Vysloukh
authors.forename: Lluis
authors.initials: L
authors.lastname: Torner