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

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dc.creatorLan, Yueheng
dc.creatorGarnier, Nicolas
dc.creatorCvitanovic, Predrag
dc.date2002-07-31
dc.date.accessioned2026-07-07T05:34:14Z
dc.date.available2026-07-07T05:34:14Z
dc.descriptionWe 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.
dc.description29 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/nlin/0208001
dc.identifierhttp://arxiv.org/abs/nlin/0208001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80291
dc.subjectPattern Formation and Solitons
dc.subjectChaotic Dynamics
dc.titleStationary modulated-amplitude waves in the 1-D complex Ginzburg-Landau equation
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