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Localized structures in kagome lattices
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Law, K. J. H., Saxena, Avadh, Kevrekidis, P. and Bishop, A. (2009) Localized structures in kagome lattices. Physical Review A, Vol.79 (No.5). doi:10.1103/PhysRevA.79.053818 ISSN 1050-2947.
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Official URL: http://dx.doi.org/10.1103/PhysRevA.79.053818
Abstract
We investigate the existence and stability of gap vortices and multipole 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 anticontinuum (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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physical Review A | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1050-2947 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.79 | ||||
Number: | No.5 | ||||
DOI: | 10.1103/PhysRevA.79.053818 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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