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Multi-peakon solutions of the Degasperis-Procesi equation

Hans Lundmark·Jacek Szmigielski
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Abstract

We present an inverse scattering approach for computing n-peakon solutions of the Degasperis-Procesi equation (a modification of the Camassa-Holm (CH) shallow water equation). The associated non-self-adjoint spectral problem is shown to be amenable to analysis using the isospectral deformations induced from the n-peakon solution, and the inverse problem is solved by a method generalizing the continued fraction solution of the peakon sector of the CH equation.

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Hans Lundmark, Jacek Szmigielski. 2005-03-14. Multi-peakon solutions of the Degasperis-Procesi equation. https://doi.org/10.1088/0266-5611%2F19%2F6%2F001

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