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Singularity analysis, balance equations and soliton solution of the nonlocal complex Ginzburg-Landau equation

✍ Scribed by A. Ankiewicz; N. N. Akhmediev; P. Winternitz


Book ID
111534906
Publisher
Springer
Year
1999
Tongue
English
Weight
291 KB
Volume
36
Category
Article
ISSN
0022-0833

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On self-similar singular solutions of th
✍ 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