Surface modes and breathers in finite arrays of nonlinear waveguides
Other Condensed Matter
2007-10-08 v1 Pattern Formation and Solitons
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.
Cite
@article{arxiv.0708.3245,
title = {Surface modes and breathers in finite arrays of nonlinear waveguides},
author = {Yu. V. Bludov and V. V. Konotop},
journal= {arXiv preprint arXiv:0708.3245},
year = {2007}
}
Comments
Accepted for publication in Physical Review E