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arXiv · 1502.07686

The general peakon-antipeakon solution for the Camassa-Holm equation

Katrin Grunert·Helge Holden
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Abstract

We compute explicitly the peakon-antipeakon solution of the Camassa-Holm equation $u_t-u_{txx}+3uu_x-2u_xu_{xx}-uu_{xxx}=0$ in the non-symmetric and $α$-dissipative case. The solution experiences wave breaking in finite time, and the explicit solution illuminates the interplay between the various variables.

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Katrin Grunert, Helge Holden. 2015-02-26. The general peakon-antipeakon solution for the Camassa-Holm equation. https://doi.org/10.1142/s0219891616500119

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