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Volumn 71, Issue 3, 2005, Pages 209-226

The Hamiltonian structures of the two-dimensional Toda Lattice and R-matrices

Author keywords

Hamiltonian structures; R matrix; Two dimensional Toda lattice

Indexed keywords


EID: 18244407032     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11005-005-0629-y     Document Type: Article
Times cited : (22)

References (18)
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  • 4
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    • Sklyanin, E.K.1
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    • translation (in Russian)
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    • translation
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  • 8
    • 45349110226 scopus 로고
    • R-matrices and higher Poisson brackets for integrable systems
    • Oevel, W. and Ragnisco, O.: R-matrices and higher Poisson brackets for integrable systems. Phys. A 161 (1) (1989), 181-220.
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  • 9
    • 0001306018 scopus 로고
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  • 10
    • 0040339081 scopus 로고    scopus 로고
    • Poisson brackets for integrable lattice systems
    • A. S. Fokas and I. M. Gelfand (eds), Progress in Non-linear differential equations and their applications
    • Oevel, W: Poisson brackets for integrable lattice systems. In: A. S. Fokas and I. M. Gelfand (eds), Algebraic aspects of integrable systems: in memory of Irene Dorfman, Progress in Non-linear differential equations and their applications, Vol. 26. 1997.
    • (1997) Algebraic Aspects of Integrable Systems: in Memory of Irene Dorfman , vol.26
    • Oevel, W.1
  • 11
    • 0002506343 scopus 로고
    • Discrete lax equations and differential-difference calculus
    • Kuperschmidt, B. A.: Discrete Lax equations and differential-difference calculus. Astérisque No. 123, (1985), 212 pp.
    • (1985) Astérisque , vol.123 , pp. 212
    • Kuperschmidt, B.A.1
  • 12
    • 18244405233 scopus 로고    scopus 로고
    • Generalized q-deformed Gelf-and-Dickey structures on the group of q-pseudodifference operators
    • L. D. Faddeev (ed.)
    • Pirozerski, A. L. and Semenov-Tian-Shansky, M. A.: Generalized q-deformed Gelf-and-Dickey structures on the group of q-pseudodifference operators. In: L. D. Faddeev (ed.), Seminar on Mathematical Physics,
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    • Pirozerski, A.L.1    Semenov-Tian-Shansky, M.A.2
  • 14
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    • Solutions of the classical Yang-Baxter equation for simple Lie algebras
    • Belavin, A. A. and Drinfel'd, V.G.: Solutions of the classical Yang-Baxter equation for simple Lie algebras, Funktsional. Anal, i Prilozhen. 16 (3) (1982), 1-29, 96;
    • (1982) Funktsional. Anal, I Prilozhen. , vol.16 , Issue.3 , pp. 1-29
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  • 15
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    • Translated (in Russian)
    • Translated in Functional Anal. Appl 16 (3) (1982), 159-180 (in Russian).
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  • 16
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    • On perturbations of the periodic Toda lattice
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  • 17
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    • Van Moerbeke, P.1    Mumford, D.2
  • 18
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    • Adler, M.1    Van Moerbeke, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.