Stationary modulated-amplitude waves in the 1-D complex Ginzburg-Landau equation

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We reformulate the one-dimensional complex Ginzburg-Landau equation as a fourth order ordinary differential equation in order to find stationary spatially-periodic solutions. Using this formalism, we prove the existence and stability of stationary modulated-amplitude wave solutions. Approximate analytic expressions and a comparison with numerics are given.
29 pages, 4 figures

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Pattern Formation and Solitons, Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/80291

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0208001
 http://arxiv.org/abs/nlin/0208001

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arXiv