Multi-peakon solutions of the Degasperis-Procesi equation

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.

Updated version (minor errors corrected), 5 pages, uses iopart.cls

References in corpus (4)

• An integrable shallow water equation with peaked solitons
• Multipeakons and a theorem of Stieltjes
• Degasperis-Procesi peakons and the discrete cubic string
• A New Integrable Equation with Peakon Solutions

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