Stability of multipeakons |
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| Authors: | Khaled El Dika Luc Molinet |
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| Institution: | aL.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. |
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| Keywords: | Camassa– Holm equation Multipeakons Orbital stability |
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