Stability of multi antipeakon-peakons profile

Details Stability of multi antipeakon-peakons profile Stability of multi antipeakon-peakons profile

2009-10-15

arxiv.org/abs/0910.2972v1

Discrete and Continuous Dynamical Systems: Series B 12, 3 (2009) 561-577

Mathematics

Analysis of PDEs

Scientific paper

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 \cite{CS1}. In \cite{EL2} 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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