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Inverse scattering transform for the Degasperis-Procesi equation
Institut für Angewandte Mathematik, Leibniz Universität Hannover, Hannover, Germany .ORCID iD: 0000-0001-6191-7769
2010 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 23, no 10, 2559-2575 p.Article in journal (Refereed) Published
Abstract [en]

We develop the inverse scattering transform (IST) method for the Degasperis- Procesi equation. The spectral problem is an sl(3) Zakharov-Shabat problem with constant boundary conditions and finite reduction group. The basic aspects of the IST, such as the construction of fundamental analytic solutions, the formulation of a Riemann-Hilbert problem, and the implementation of the dressing method, are presented.

Place, publisher, year, edition, pages
2010. Vol. 23, no 10, 2559-2575 p.
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Natural Sciences
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URN: urn:nbn:se:kth:diva-163816DOI: 10.1088/0951-7715/23/10/012ISI: 000281377600012Scopus ID: 2-s2.0-78149354138OAI: oai:DiVA.org:kth-163816DiVA: diva2:802377
Note

QC 20150413

Available from: 2015-04-13 Created: 2015-04-12 Last updated: 2017-12-04Bibliographically approved

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Lenells, Jonatan

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