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Analytic solutions of self-similar pulse based on Ginzburg-Landau equation with constant coefficients

✍ Scribed by Jie Feng; WenCheng Xu; ShuXian Li; SongHao Liu


Book ID
107360177
Publisher
Science in China Press (SCP)
Year
2008
Tongue
English
Weight
422 KB
Volume
51
Category
Article
ISSN
1672-1799

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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