Peakon-antipeakon interactions in the Degasperis-Procesi Equation

@article{Szmigielski2013PeakonantipeakonII,
  title={Peakon-antipeakon interactions in the Degasperis-Procesi Equation},
  author={Jacek Szmigielski and Lingjun Zhou},
  journal={arXiv: Mathematical Physics},
  year={2013}
}
Peakons are singular, soliton-like solutions to nonlinear wave equations whose dynamics can be studied using ordinary differential equations (ODEs). The Degasperis-Procesi equation (DP) is an important example of an integrable PDE exhibiting wave breaking in the peakon sector thus affording an interpretation of wave breaking as a mechanical collision of particles. In this paper we set up a general formalism in which to study collisions of DP peakons and apply it, as an illustration, to a… 

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