Localized structures in Kagome lattices
Pattern Formation and Solitons
2015-05-13 v1
Abstract
We investigate the existence and stability of gap vortices and multi-pole gap solitons in a Kagome lattice with a defocusing nonlinearity both in a discrete case and in a continuum one with periodic external modulation. In particular, predictions are made based on expansion around a simple and analytically tractable anti-continuum (zero coupling) limit. These predictions are then confirmed for a continuum model of an optically-induced Kagome lattice in a photorefractive crystal obtained by a continuous transformation of a honeycomb lattice.
Cite
@article{arxiv.0902.2385,
title = {Localized structures in Kagome lattices},
author = {K. J. H. Law and Avadh Saxena and P. G. Kevrekidis and A. R. Bishop},
journal= {arXiv preprint arXiv:0902.2385},
year = {2015}
}