JournalsaihpcVol. 26, No. 4pp. 1517–1532

Stability of multipeakons

  • Khaled El Dika

    L.A.G.A., Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France

  • Luc Molinet

    L.A.G.A., Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France
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Abstract

The Camassa–Holm equation possesses well-known peaked solitary waves that are called peakons. Their orbital stability has been established by Constantin and Strauss in [A. Constantin, W. Strauss, Stability of peakons, Comm. Pure Appl. Math. 53 (2000) 603–610]. We prove here the stability of ordered trains of peakons. We also establish a result on the stability of multipeakons.

Cite this article

Khaled El Dika, Luc Molinet, Stability of multipeakons. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 4, pp. 1517–1532

DOI 10.1016/J.ANIHPC.2009.02.002