The general peakon-antipeakon solution for the Camassa-Holm equation
Journal article, Peer reviewed
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Original versionJournal of Hyperbolic Differential Equations. 2016, 13 (2), 353-380. 10.1142/S0219891616500119
We compute explicitly the peakon-antipeakon solution of the Camassa– Holm equation ut − utxx + 3uux − 2uxuxx − uuxxx = 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.