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Volumn 44, Issue 2-3, 2002, Pages 331-375

Deformations of bi-Hamiltonian structures of hydrodynamic type

Author keywords

Bi Hamiltonian systems; Poisson cohomology

Indexed keywords


EID: 0036888090     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(02)00080-3     Document Type: Article
Times cited : (40)

References (17)
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  • 4
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    • On deformations of Poisson manifolds of hydrodynamic type
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  • 6
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    • Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov-Whitham averaging method
    • (English translation: Sov. Math. Dokl. 27 (1983) 665-669)
    • B.A. Dubrovin, S.P. Novikov, Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov-Whitham averaging method. Dokl. Akad. Nauk SSSR 270 (1983) 781-785 (English translation: Sov. Math. Dokl. 27 (1983) 665-669).
    • (1983) Dokl. Akad. Nauk SSSR , vol.270 , pp. 781-785
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 7
    • 0012863387 scopus 로고    scopus 로고
    • Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov-Witten invariants
    • Math.DG/0108160
    • B. Dubrovin, Y. Zhang, Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov-Witten invariants. Math.DG/0108160.
    • Dubrovin, B.1    Zhang, Y.2
  • 8
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    • Bi-Hamiltonian hierarchies in 2D topological field theory at one loop approximation
    • B. Dubrovin, Y. Zhang, Bi-Hamiltonian hierarchies in 2D topological field theory at one loop approximation, Commun. Math. Phys. 198 (1998) 311-361.
    • (1998) Commun. Math. Phys , vol.198 , pp. 311-361
    • Dubrovin, B.1    Zhang, Y.2
  • 9
    • 0032188605 scopus 로고    scopus 로고
    • Bi-Hamiltonian geometry, Darboux coverings and linearization of the KP hierarchy
    • G. Falqui, F. Magri, M. Pedroni, Bi-Hamiltonian geometry, Darboux coverings and linearization of the KP hierarchy, Commun. Math. Phys. 197 (1998) 303-324.
    • (1998) Commun. Math. Phys , vol.197 , pp. 303-324
    • Falqui, G.1    Magri, F.2    Pedroni, M.3
  • 10
    • 0002290012 scopus 로고
    • Asymptotic behavior of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations
    • (English translation: Russ. Math. Surv. 30 (5) (1975) 77-113)
    • I.M. Gelfand, L.A. Dikij, Asymptotic behavior of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations, Usp. Mat. Nauk 30 (5) (1975) 67-100 (English translation: Russ. Math. Surv. 30 (5) (1975) 77-113).
    • (1975) Usp. Mat. Nauk , vol.30 , Issue.5 , pp. 67-100
    • Gelfand, I.M.1    Dikij, L.A.2
  • 11
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    • A Darboux theorem for Hamiltonian operators in the formal calculus of variations
    • Math.DG/0002164
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    • Getzler, E.1
  • 13
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    • Les varietés de Poisson et leurs algebres de Lie associées
    • A. Lichnerowicz, Les varietés de Poisson et leurs algebres de Lie associées, J. Diff. Geom. 12 (1977) 253-300.
    • (1977) J. Diff. Geom , vol.12 , pp. 253-300
    • Lichnerowicz, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.