Stability of peakons for the Degasperis-Procesi equation

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dc.creatorLin, Zhiwu
dc.creatorLiu, Yue
dc.date2007-12-12
dc.date.accessioned2026-07-07T08:48:53Z
dc.date.available2026-07-07T08:48:53Z
dc.descriptionThe Degasperis-Procesi equation can be derived as a member of a one-parameter family of asymptotic shallow water approximations to the Euler equations with the same asymptotic accuracy as that of the Camassa-Holm equation. In this paper, we study the orbital stability problem of the peaked solitons to the Degasperis-Procesi equation on the line. By constructing a Liapunov function, we prove that the shapes of these peakon solitons are stable under small perturbations.
dc.description21 pages, to appear in Comm. Pure Appl. Math
dc.identifierhttps://arxiv.org/abs/0712.2007
dc.identifierhttp://arxiv.org/abs/0712.2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144107
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35G35, 35Q51
dc.titleStability of peakons for the Degasperis-Procesi equation
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