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From Stäckel systems to integrable hierarchies of PDE's: Beneti class of separation relations.
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
Institution för fysik Adam Mickiewicz universitet, Poznan, Polen.
2006 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 47, p. 0329041-03290426Article in journal (Refereed) Published
Abstract [en]

We propose a general scheme of constructing of soliton hierarchies from finite dimensional Stäckel systems and related separation relations. In particular, we concentrate on the simplest class of separation relations, called Benenti class, i.e., certain Stäckel systems with quadratic in momenta integrals of motion.

Place, publisher, year, edition, pages
A I P Publishing LLC , 2006. Vol. 47, p. 0329041-03290426
Keywords [en]
matmatisk fysik, integrabla och separabla differentialekvationer, solitonkierarkier
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-40735DOI: 10.1063/1.2176908Local ID: 54012OAI: oai:DiVA.org:liu-40735DiVA, id: diva2:261584
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2018-05-29

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Publisher's full texthttp://link.aip.org/link/?JMAPAQ/47/032904/1

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Marciniak, Krzysztof

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