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Khaled El Dika

Publications and source records attributed to Khaled El Dika.

2 recordsLinked to original sources

Stability of multi antipeakon-peakons profile

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.

math.AP

Stability of multipeakons

The Camassa-Holm equation possesses well-known peaked solitary waves that are called peakons. Their orbital stability has been established by Constantin and Strauss (2000). We prove here the stability of ordered trains of peakons. We also establish a result on the stability of multipeakons.

math.AP