Journal
PHYSICS LETTERS A
Volume 375, Issue 9, Pages 1242-1248Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2011.01.042
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Funding
- National Science Foundation [NSF-DMS-0349023, NSF-DMS-0806762, NSF-CMMI-1000337]
- Alexander von Humboldt Foundation
- Alexander S. Onassis Foundation
- University of Athens
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We study experimentally, analytically and numerically the backward-wave propagation, and formation of discrete bright and dark solitons in a nonlinear electrical lattice. We observe experimentally that a focusing (defocusing) effect occurs above (below) a certain carrier frequency threshold, and backward-propagating bright (dark) discrete solitons are formed. We develop a discrete model emulating the relevant circuit and benchmark its linear properties against the experimental dispersion relation. Using a perturbation method, we derive a nonlinear Schrodinger equation, that predicts accurately the carrier frequency threshold. Finally, we use numerical simulations to corroborate our findings and monitor the space-time evolution of the discrete solitons. (C) 2011 Elsevier B.V. All rights reserved.
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