Stability of multi antipeakon-peakons profile | Zendy

Khaled El Dika | Zendy; Luc Molinet | Zendy

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Stability of multi antipeakon-peakons profile

Author(s) -

Khaled El Dika,

Luc Molinet

Publication year - 2009

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2009.12.561

Subject(s) - peakon , stability (learning theory) , camassa–holm equation , train , computer science , mathematics , mathematical analysis , geography , cartography , integrable system , machine learning

The Camassa-Holm equation possesses well-known peaked solitary waves that can travel to both directions. The positive ones travel to the right and are called peakon whereas the negative ones travel to the left and are called antipeakons. Their orbital stability has been established by Constantin and Strauss in [20]. In [28] we have proven the stability of trains of peakons. Here, we continue this study by extending the stability result to the case of ordered trains of anti-peakons and peakons.

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