Multi-peakon solutions of the Degasperis-Procesi equation
2003 (English)In: Inverse Problems, ISSN 0266-5611, Vol. 19, no 6, 1241-1245 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2003. Vol. 19, no 6, 1241-1245 p.
IdentifiersURN: urn:nbn:se:liu:diva-23112DOI: 10.1088/0266-5611/19/6/001Local ID: 2509OAI: oai:DiVA.org:liu-23112DiVA: diva2:243425