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 journalArticlepeer-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 languageEnglish
Article number066610
Pages (from-to)066610/1-12
Number of pages12
JournalPhysical Review E
Volume78
Issue number6
DOIs
Publication statusPublished - 01 Dec 2008

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Fingerprint

Dive into the research topics of 'Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics'. Together they form a unique fingerprint.

Cite this