Multi-peakon solutions of the Degasperis-Procesi equation
Exactly Solvable and Integrable Systems
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.nlin/0503033,
title = {Multi-peakon solutions of the Degasperis-Procesi equation},
author = {Hans Lundmark and Jacek Szmigielski},
journal= {arXiv preprint arXiv:nlin/0503033},
year = {2009}
}
Comments
Updated version (minor errors corrected), 5 pages, uses iopart.cls