Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
From su(2) Gaudin Models to Integrable Tops
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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| dc.contributor.author | Petrera, M. | |
| dc.contributor.author | Ragnisco, O. | |
| dc.date.accessioned | 2019-02-14T14:54:25Z | |
| dc.date.available | 2019-02-14T14:54:25Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | From su(2) Gaudin Models to Integrable Tops / M. Petrera, O. Ragnisco // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 29 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 70E17; 70E40; 37J35 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147380 | |
| dc.description.abstract | In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) su(2) Gaudin models. The procedure preserves the linear r-matrix formulation of the ancestor models. We give the Lax representation of the resulting integrable systems in terms of su(2) Lax matrices with rational and elliptic dependencies on the spectral parameter. We finally give some results about the many-body extensions of the constructed systems. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. M.P. thanks Yuri B. Suris and G. Satta for helpful comments. M.P. was partially supported by the European Community through the FP6 Marie Curie RTN ENIGMA (Contract number MRTN-CT-2004-5652) and by the European Science Foundation project MISGAM. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | From su(2) Gaudin Models to Integrable Tops | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
