Stability of the Bekki-Nozaki hole solutions to the one-dimensional complex Ginzburg-Landau equation
✍ Scribed by Hugues Chaté; Paul Manneville
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 418 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
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 anal
## 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