Validity of the linear marginal stability principle for monotonic fronts of the extended Fisher-Kolmogorov equation

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dc.creatorBenguria, R. D.
dc.creatorDepassier, M. C.
dc.date2005-03-10
dc.date.accessioned2026-07-07T05:36:21Z
dc.date.available2026-07-07T05:36:21Z
dc.descriptionThe extended Fisher Kolmogorov equation $u_t = u_{xx} - γu_{xxxx} + f(u)$ with arbitrary positive $f(u)$, satisfying $f(0) = f(1) =0$, has monotonic traveling fronts for $γ< 1/12$. We find a simple lower bound on the speed of the fronts which allows to assess the validity of linear marginal stability.
dc.description3 pages, no figures
dc.identifierhttps://arxiv.org/abs/nlin/0503025
dc.identifierhttp://arxiv.org/abs/nlin/0503025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80960
dc.subjectPattern Formation and Solitons
dc.titleValidity of the linear marginal stability principle for monotonic fronts of the extended Fisher-Kolmogorov equation
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