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 |
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Article number | 066610 |
Pages (from-to) | 066610/1-12 |
Number of pages | 12 |
Journal | Physical Review E |
Volume | 78 |
Issue number | 6 |
DOIs | |
Publication status | Published - 01 Dec 2008 |
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics
- Statistical and Nonlinear Physics