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Claim

Vortex solitons of the discrete Ginzburg-Landau equation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 29 Apr 2011Embargo end date: 01 Jan 2011 Chile, Spain English Publisher:American Physical Society (APS)Journal:Physical Review A, volume 83 (issn: 1050-2947, eissn: 1094-1622, Copyright policy )
Authors: Mejía Cortés, Cristian; Vicencio Poblete, Rodrigo; Molina Gálvez, Mario; Soto Crespo, J. M.;

doi: 10.1103/physreva.83.043837 , 10.48550/arxiv.1102.0698

arXiv: 1102.0698

handle: 10261/59671 , 10533/134411 , 10533/134410

Vortex solitons of the discrete Ginzburg-Landau equation

Abstract

We have found several families of vortex soliton solutions in two-dimensional discrete dissipative systems governed by the cubic-quintic complex Ginzburg-Landau equation. There are symmetric and asymmetric solutions, and some of them have simultaneously two different topological charges. Their regions of existence and stability are determined. Additionally, we have analyzed the relation- ship between dissipation and stability for a number of solutions. We have obtained that dissipation favours the stability of the solutions.

7 pages, 11 figures

Countries
Chile, Spain
Related Organizations
Keywords

WAVE-GUIDE ARRAYS, FOS: Physical sciences, Physics - Optics, Optics (physics.optics)

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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