Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics

K.J.H. Law; P.G. Kevrekidis; V. Koukouloyannis; Ioannis Kourakis; D.J. Frantzeskakis; A.R. Bishop

doi:10.1103/PhysRevE.78.066610

Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics

K.J.H. Law, P.G. Kevrekidis, V. Koukouloyannis, Ioannis Kourakis, D.J. Frantzeskakis, A.R. Bishop

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schrodinger equation on nonsquare lattice geometries. We present a systematic classification of the solutions that arise in principal six-lattice-site and three-lattice-site contours in the form of both discrete multipole solitons and discrete vortices. Additionally to identifying the possible states, we analytically track their linear stability both qualitatively and quantitatively. We find that among the six-site configurations, the

Original language	English
Article number	066610
Pages (from-to)	066610/1-12
Number of pages	12
Journal	Physical Review E
Volume	78
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.78.066610
Publication status	Published - 01 Dec 2008

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics
Statistical and Nonlinear Physics

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10.1103/PhysRevE.78.066610

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AU - Kourakis, Ioannis

AU - Frantzeskakis, D.J.

AU - Bishop, A.R.

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AB - We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schrodinger equation on nonsquare lattice geometries. We present a systematic classification of the solutions that arise in principal six-lattice-site and three-lattice-site contours in the form of both discrete multipole solitons and discrete vortices. Additionally to identifying the possible states, we analytically track their linear stability both qualitatively and quantitatively. We find that among the six-site configurations, the

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M3 - Article

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SN - 2470-0045

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Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics

Abstract

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