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Multi-peakon solutions of the Degasperis-Procesi equation
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0003-4137-8272
2003 (English)In: Inverse Problems, ISSN 0266-5611, Vol. 19, no 6, 1241-1245 p.Article in journal (Refereed) Published
Abstract [en]

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.
National Category
URN: urn:nbn:se:liu:diva-23112DOI: 10.1088/0266-5611/19/6/001Local ID: 2509OAI: diva2:243425
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2013-11-14

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Lundmark, Hans
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