title: Surface modes and breathers in finite arrays of nonlinear waveguides.
abstract: We present the complete set of symmetric and antisymmetric (edge and corner) surface modes in finite one- and two-dimensional arrays of waveguides. We provide classification of the modes based on the anti-continuum limit, study their stability and bifurcations, and discuss relation between surface and bulk modes. We put forward existence of surface breathers, which represent two-frequency modes localized about the array edges.
authors.affiliation: Centro de Física Teórica e Computacional, Universidade de Lisboa, Complexo Interdisciplinar, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal.
authors.forename: Yu V
authors.initials: YV
authors.lastname: Bludov
authors.forename: V V
authors.initials: VV
authors.lastname: Konotop