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Soliton complexity in the damped-driven nonlinear Schrödinger equation: Stationary to periodic to quasiperiodic complexes

✍ Scribed by Barashenkov, I. V.; Zemlyanaya, E. V.

Book ID
120382364
Publisher
The American Physical Society
Year
2011
Tongue
English
Weight
764 KB
Volume
83
Category
Article
ISSN
1063-651X

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✍ Joceline Lega; Stephan Fauve 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 978 KB

We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schrrdinger (NLS) dark solitons. Modulation of the free parameters of the NLS solutions leads to a dynamical system describing the CGL dynamics in the vicinity of a traveling hole solution.