Bäcklund Transformations for the Kirchhoff Top

We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the sl(2) trigonometric Gaudin model. Our BTs are integrable maps providing an exact time-discretization of the system, inasmuch as they preserve bo...

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Bibliographic Details
Date:2011
Main Authors: Ragnisco, O., Zullo, F.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146705
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Bäcklund Transformations for the Kirchhoff Top / O. Ragnisco, F. Zullo // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine