Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
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| Creator |
Beffa, G.M.
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| Description |
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.
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| Date |
2019-02-19T13:19:38Z
2019-02-19T13:19:38Z 2008 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 37K25; 53A55 http://dspace.nbuv.gov.ua/handle/123456789/149050 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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