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Volumn 127, Issue 3, 1999, Pages 363-391

The theory of differential invariants and KDV hamiltonian evolutions

Author keywords

Adler Gel'fand Dikii Poisson brackets; Differential invariants; Invariant evolutions of projective curves; KdV Hamiltonian evolutions; Protective action

Indexed keywords


EID: 0040428613     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2353     Document Type: Article
Times cited : (28)

References (16)
  • 1
    • 34250286595 scopus 로고
    • On a trace functional for formal pseudo-differential operators and the symplectic structure of the KdV
    • ADLER (M.). - On a trace functional for formal pseudo-differential operators and the symplectic structure of the KdV, Inventiones Math., t. 50, 1979, p. 219-48.
    • (1979) Inventiones Math. , vol.50 , pp. 219-248
    • Adler, M.1
  • 2
    • 34250120087 scopus 로고
    • Lie algebras and equations of KdV type
    • DRINFEL'D (V.G.), SOKOLOV (V.V.). - Lie algebras and equations of KdV type, J. Soviet Math., t. 30, 1985, p. 1975-2036.
    • (1985) J. Soviet Math. , vol.30 , pp. 1975-2036
    • Drinfel'd, V.G.1    Sokolov, V.V.2
  • 6
    • 34250256473 scopus 로고
    • Modifying lax equations and the second Hamiltonian structure
    • KUPERSHMIDT (B.A.), WILSON. (G.). - Modifying Lax equations and the second Hamiltonian structure, Inventiones Math., t. 62, 1981, p. 403-36.
    • (1981) Inventiones Math. , vol.62 , pp. 403-436
    • Kupershmidt, B.A.1    Wilson, G.2
  • 7
    • 84974186318 scopus 로고
    • SL(n + 1)-invariant equations which reduce to equations of Korteweg-de Vries type
    • MCINTOSH (I.). - SL(n + 1)-invariant equations which reduce to equations of Korteweg-de Vries type, Proc. Royal Soc. Edinburgh, t. 115A, 1990, p. 367-81.
    • (1990) Proc. Royal Soc. Edinburgh , vol.115 A , pp. 367-381
    • McIntosh, I.1
  • 8
    • 0042112574 scopus 로고    scopus 로고
    • Differential invariants for parametrized projective surfaces
    • to appear
    • MARÍ BEFFA (G.), OLVER (P.). - Differential Invariants for parametrized projective surfaces, Comm. in Analysis and Geom., to appear.
    • Comm. in Analysis and Geom.
    • Marí Beffa, G.1    Olver, P.2
  • 12
    • 34249916116 scopus 로고
    • Symplectic leaves of the Gelfand-Dikii brackets and homotopy classes of nondegenerate curves
    • OVSIENKO (V.Yu.), KHESIN (B.A.). - Symplectic leaves of the Gelfand-Dikii brackets and homotopy classes of nondegenerate curves, Funct. Anal. Appl., t. 24, 1990, p. 38-47.
    • (1990) Funct. Anal. Appl. , vol.24 , pp. 38-47
    • Ovsienko, V.Yu.1    Khesin, B.A.2
  • 14
    • 0009125109 scopus 로고
    • On the antiplectic pair connected with the Adler-Gel'fand-Dikii bracket
    • WILSON (G.). - On the antiplectic pair connected with the Adler-Gel'fand-Dikii bracket, Nonlinearity, t. 50, 1992, p. 109-31.
    • (1992) Nonlinearity , vol.50 , pp. 109-131
    • Wilson, G.1
  • 15
    • 0042613599 scopus 로고
    • On the Adler-Gel'fand-Dikii bracket, Hamiltonian systems, transformation groups and spectral transform methods
    • eds: Harnad and Marsden
    • WILSON(G.). - On the Adler-Gel'fand-Dikii bracket, Hamiltonian systems, transformation groups and spectral transform methods. -Proc. CRM Workshop, eds: Harnad and Marsden, 1989.
    • (1989) Proc. CRM Workshop
    • Wilson, G.1
  • 16
    • 0013043474 scopus 로고
    • On antiplectic pairs in the Hamiltonian formalism of evolution equations
    • WILSON (G.). - On antiplectic pairs in the Hamiltonian formalism of evolution equations, Quart. J. Math. Oxford, t. 42, 1991, p. 227-256.
    • (1991) Quart. J. Math. Oxford , vol.42 , pp. 227-256
    • Wilson, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.