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Stackel systems generating coupled KdV hierarchies and their finite-gap and rational solutions
Adam Mickiewicz Univ Poznan, Dept Phys, PL-61614 Poznan, Poland.
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
2008 (English)In: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, Vol. 41, no 48Article in journal (Refereed) Published
Abstract [en]

We show how to generate coupled KdV hierarchies from Stackel separable systems of Benenti type. We further show that the solutions of these Stackel systems generate a large class of finite-gap and rational solutions for cKdV hierarchies. Most of these solutions are new.

Place, publisher, year, edition, pages
2008. Vol. 41, no 48
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-45853DOI: 10.1088/1751-8113/41/48/485202OAI: oai:DiVA.org:liu-45853DiVA: diva2:266749
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-10

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Marciniak, Krzysztof

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