| Abstract: |
| Peakon equations have attracted considerable interest over the past few decades. A peakon is a peaked solitary wave $u = a \exp(-|x-ct)$. Only a few examples of integrable peakon equations are known: Camassa-Holm equation, Degasperis-Procesi equation, Novikov equation, and FORQ/modified Camassa-Holm equation. In this talk, we discuss a (new) integrable peakon equation, which is non-invariant under parity (P) and time-reversal (T) transformations. Its integrability features and peakon solutions are presented. The lack of PT invariance leads to several novel aspects in both the integrability structure and the peakon solutions. |
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