Bäcklund Transformations for the Kirchhoff Top

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• ISSN: 1815-0659
• Main Authors: Ragnisco, O., Zullo, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146705
• 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.

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...