Localized states in a triangular set of linearly coupled complex Ginzburg-Landau equations

Ariel Sigler*, Boris A. Malomed, Dmitry V. Skryabin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce a pattern-formation model based on a symmetric system of three linearly coupled cubic-quintic complex Ginzburg-Landau equations, which form a triangular configuration. This is the simplest model of a multicore fiber laser. We identify stability regions for various types of localized patterns possible in this setting, which include stationary and breathing triangular vortices.

Original languageEnglish
Article number066604
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number6
DOIs
StatePublished - 2006

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