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Pré-Publication, Document De Travail Année : 2007

The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

Résumé

In recent years two nonlinear dispersive partial differential equations have attracted a lot of attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water waves over a flat bed. The equations capture stronger nonlinear effects than the classical nonlinear dispersive Benjamin-Bona-Mahoney and Korteweg-de Vries equations. In particular, they accomodate wave breaking phenomena.
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Dates et versions

hal-00170213 , version 1 (06-09-2007)

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Adrian Constantin, David Lannes. The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. 2007. ⟨hal-00170213⟩

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