Discrete surface solitons in two dimensions
Pattern Formation and Solitons
2010-12-10 v1
Abstract
We investigate fundamental localized modes in 2D lattices with an edge (surface). Interaction with the edge expands the stability area for ordinary solitons, and induces a difference between perpendicular and parallel dipoles; on the contrary, lattice vortices cannot exist too close to the border. Furthermore, we show analytically and numerically that the edge stabilizes a novel wave species, which is entirely unstable in the uniform lattice, namely, a "horseshoe" soliton, consisting of 3 sites. Unstable horseshoes transform themselves into a pair of ordinary solitons.
Cite
@article{arxiv.nlin/0607063,
title = {Discrete surface solitons in two dimensions},
author = {H. Susanto and P. G. Kevrekidis and B. A. Malomed and R. Carretero-Gonzalez and D. J. Frantzeskakis},
journal= {arXiv preprint arXiv:nlin/0607063},
year = {2010}
}
Comments
6 pages, 4 composite figures