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From dark solitons in the defocusing nonlinear Schro¨dinger to holes in the complex Ginzburg-Landau equation

✍ Scribed by Olaf Stiller; Stefan Popp; Lorenz Kramer


Book ID
107914431
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
733 KB
Volume
84
Category
Article
ISSN
0167-2789

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📜 SIMILAR VOLUMES


Traveling hole solutions to the complex
✍ 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.