## Communicated by W. Eckhaus We consider parabolic systems defined on cylindrical domains close to the threshold of instability, in which the Fourier modes with positive growth rates are concentrated at a non-zero critical wave number. In particular, we consider systems for which a so-called Ginz
✦ LIBER ✦
Oscillatory solutions of generalized Ginzburg-Landau equations at Hc1?
✍ Scribed by U. Krey
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 117 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0375-9601
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The one-dimensional (1D) generalized modified complex Ginzburg-Landau (MCGL) equation for the traveling wave systems is analytically studied. Exact solutions of this equation are obtained using a method which combines the Painlev e e test for integrability in the formalism of Weiss-Tabor-Carnevale a
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In this article, we consider a system of a Ginzburg᎐Landau equation in u coupled with a Poisson equation in , nonglobal. Our method uses energy arguments. We establish differential inequalities having only nonglobal solutions.
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