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Communications in Mathematical Physics
Volumn 191, Issue 3, 1998, Pages 723-734
The Kowalevski top: Its r-matrix interpretation and bihamiltonian formulation
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EID: 0032472562     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050285     Document Type: Article
Times cited : (16)
References (10)
  • 1
    • 0000367988 scopus 로고
    • The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - A two-dimensional family of Lax pairs
    • Adler, M., van Moerbeke, P.: The Kowalewski and Hénon-Heiles motions as Manakov Geodesic flows on SO(4) - a two-dimensional family of Lax pairs. Commun. Math. Phys. 113, 659-700 (1988)
    • (1988) Commun. Math. Phys. , vol.113 , pp. 659-700
    • Adler, M.1    Van Moerbeke, P.2
  • 2
    • 0001107533 scopus 로고
    • The Kowalevski top 99 years later: A Lax pair, generalisations and explicit solutions
    • Bobenko, A.I., Reyman, A.G., Semenov-Tian-Shansky, M,A.: The Kowalevski top 99 years later: A Lax pair, generalisations and explicit solutions. Commun. Math. Phys. 122, 321-354 (1989)
    • (1989) Commun. Math. Phys. , vol.122 , pp. 321-354
    • Bobenko, A.I.1    Reyman, A.G.2    Semenov-Tian-Shansky, M.3
  • 4
    • 0000611724 scopus 로고
    • A Lax pair for Kowalewski's top
    • Haine, L., Horozov, E.: A Lax pair for Kowalewski's top. Physica D 29, 173-180 (1987)
    • (1987) Physica D , vol.29 , pp. 173-180
    • Haine, L.1    Horozov, E.2
  • 5
    • 0002008837 scopus 로고
    • Sur le cas traité par Mme Kowalewskie de rotation d'un solide autour d'un point fixe
    • Kötter, F.: Sur le cas traité par Mme Kowalewskie de rotation d'un solide autour d'un point fixe. Acta Math. 17, 209-264 (1893)
    • (1893) Acta Math. , vol.17 , pp. 209-264
    • Kötter, F.1
  • 6
    • 34250579023 scopus 로고
    • Sur le problème de la rotation d'un corps solide autour d'un point fixe
    • Kowalevski, S.: Sur le problème de la rotation d'un corps solide autour d'un point fixe. Acta Math. 12, 177-232 (1889)
    • (1889) Acta Math. , vol.12 , pp. 177-232
    • Kowalevski, S.1
  • 7
    • 0007320334 scopus 로고
    • Integrable Hamiltonian systems connected with graded Lie algebras. Differential geometry, Lie groups and mechanics II
    • Reyman, A.G.: Integrable Hamiltonian systems connected with graded Lie algebras. Differential Geometry, Lie groups and mechanics II. Zap. Nauchn. Semin. LOMI 95, 3-54 (1980) [J.Soviet Math. 19, 1507-1545 (1982)]
    • (1980) Zap. Nauchn. Semin. LOMI , vol.95 , pp. 3-54
    • Reyman, A.G.1
  • 8
    • 0000044682 scopus 로고
    • Reyman, A.G.: Integrable Hamiltonian systems connected with graded Lie algebras. Differential Geometry, Lie groups and mechanics II. Zap. Nauchn. Semin. LOMI 95, 3-54 (1980) [J.Soviet Math. 19, 1507-1545 (1982)]
    • (1982) J.Soviet Math. , vol.19 , pp. 1507-1545
  • 9
    • 0013207276 scopus 로고
    • Lax representation with a spectral parameter for the Kowalevski top and its generalisations
    • Reyman, A.G., Semenov-Tian-Shansky, M.A.: Lax representation with a spectral parameter for the Kowalevski top and its generalisations. Lett. Math. Phys. 14, 55-62 (1987)
    • (1987) Lett. Math. Phys. , vol.14 , pp. 55-62
    • Reyman, A.G.1    Semenov-Tian-Shansky, M.A.2
  • 10
    • 0003270559 scopus 로고
    • Group-theoretical methods in the theory of finite dimensional integrable systems. Part 2
    • Chapter 2. eds. V.I.Arnold & S.P.Novikov, Berlin Heidelberg: Springer-Verlag
    • Reyman, A.G., Semenov-Tian-Shansky, M.A.: Group-theoretical methods in the theory of finite dimensional integrable systems. Part 2, Chapter 2. In: Encyclopaedia of Mathematical Sciences vol.16, eds. V.I.Arnold & S.P.Novikov, Berlin Heidelberg: Springer-Verlag 1994
    • (1994) Encyclopaedia of Mathematical Sciences , vol.16
    • Reyman, A.G.1    Semenov-Tian-Shansky, M.A.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.