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On the stable hole solutions in the complex Ginzburg–Landau equation

✍ Scribed by Orazio Descalzi; Gustavo Düring; Enrique Tirapegui

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
203 KB
Volume
356
Category
Article
ISSN
0378-4371

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✦ Synopsis

We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The analytic results are in good agreement with numerical simulations.

📜 SIMILAR VOLUMES

On self-similar singular solutions of th
On self-similar singular solutions of the complex Ginzburg-Landau equation
✍ Petr Plecháč; Vladimír Šverák 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 637 KB

## Abstract We address the open problem of existence of singularities for the complex Ginzburg‐Landau equation. Using a combination of rigorous results and numerical computations, we describe a countable family of self‐similar singularities. Our analysis includes the supercritical nonlinear Schrödi