Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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| dc.contributor.author | Beffa, G.M. | |
| dc.date.accessioned | 2019-02-19T13:19:38Z | |
| dc.date.available | 2019-02-19T13:19:38Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems / G.M. Beffa // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 51 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 37K25; 53A55 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149050 | |
| dc.description.abstract | In this paper we present an overview of the connection between completely integrable systems and the background geometry of the flow. This relation is better seen when using a group-based concept of moving frame introduced by Fels and Olver in [Acta Appl. Math. 51 (1998), 161-213; 55 (1999), 127-208]. The paper discusses the close connection between different types of geometries and the type of equations they realize. In particular, we describe the direct relation between symmetric spaces and equations of KdV-type, and the possible geometric origins of this connection. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). | 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 | Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
