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Volumn 8, Issue SUPPL., 2001, Pages 118-127

Bihamiltonian geometry and separation of variables for toda lattices

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EID: 84862106960     PISSN: 14029251     EISSN: None     Source Type: Journal    
DOI: 10.2991/jnmp.2001.8.s.21     Document Type: Conference Paper
Times cited : (31)

References (16)
  • 1
    • 0013101025 scopus 로고
    • Darboux coordinates and liouville-arnold integration in loop algebras
    • Adams M R, Harnad J and Hurtubise J, Darboux Coordinates and Liouville-Arnold Integration in Loop Algebras, Comm. Math. Phys., 1993, V.155, 385-413.
    • (1993) Comm. Math. Phys. , vol.155 , pp. 385-413
    • Adams, M.R.1    Harnad, J.2    Hurtubise, J.3
  • 4
    • 0034348926 scopus 로고    scopus 로고
    • Reduction of bihamiltonian systems and separation of variables: An example from the boussinesq hierarchy
    • Falqui G, Magri F and Tondo G, Reduction of Bihamiltonian Systems and Separation of Variables: an Example from the Boussinesq Hierarchy, Theor. Math. Phys., 2000, V.122, 212-230.
    • (2000) Theor. Math. Phys. , vol.122 , pp. 212-230
    • Falqui, G.1    Magri, F.2    Tondo, G.3
  • 5
    • 0012331667 scopus 로고
    • Integrable systems and torus actions
    • Editors O Babelon et al., World Scientific
    • Flaschka H, Integrable Systems and Torus Actions, in Lectures on Integrable Systems, Editors O Babelon et al., World Scientific, 1994, 43-101.
    • (1994) Lectures on Integrable Systems , pp. 43-101
    • Flaschka, H.1
  • 6
    • 0001037331 scopus 로고
    • Canonically conjugate variables for the korteweg-de vries equation and the toda lattice with periodic boundary conditions
    • Flaschka H and McLaughlin D W, Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions, Progress Theor. Phys., 1976, V.55, 438-456.
    • (1976) Progress Theor. Phys. , vol.55 , pp. 438-456
    • Flaschka, H.1    McLaughlin, D.W.2
  • 7
    • 0002700949 scopus 로고
    • On the local geometry of a bi-hamiltonian structure
    • Editors L Corwin et al., Birkhäuser, Boston
    • Gel'fand I M and Zakharevich I, On the Local Geometry of a Bi-Hamiltonian Structure, in The Gel'fand Mathematical Seminars 1990-1992, Editors L Corwin et al., Birkhäuser, Boston, 1993, 51-112.
    • (1993) The Gel'fand Mathematical Seminars 1990-1992 , pp. 51-112
    • Gel'fand, I.M.1    Zakharevich, I.2
  • 8
    • 84862060859 scopus 로고    scopus 로고
    • Webs lenard schemes and the local geometry of bihamiltonian toda and lax structures
    • math-ag/9903080 (to appear)
    • Gel'fand I M and Zakharevich I, Webs, Lenard Schemes, and the Local Geometry of Bihamiltonian Toda and Lax Structures, math-ag/9903080, Selecta Mathematica (to appear).
    • Selecta Mathematica
    • Gel'fand, I.M.1    Zakharevich, I.2
  • 10
    • 0031582002 scopus 로고    scopus 로고
    • Separation of variables for the Dn-type periodic toda lattice
    • Kuznetsov V B, Separation of Variables for the Dn-Type Periodic Toda Lattice, J. Phys. A, 1997, V.30, 2127-2138.
    • (1997) J. Phys. A , vol.30 , pp. 2127-2138
    • Kuznetsov, V.B.1
  • 11
    • 0345135379 scopus 로고
    • Geometry and soliton equations in la mécanique analytique de lagrange et son héritage
    • Magri F, Geometry and Soliton Equations, in La Mécanique Analytique de Lagrange et son héritage, Atti Acc. Sci. Torino Suppl., 1990, V.124, 181-209.
    • (1990) Atti Acc. Sci. Torino Suppl. , vol.124 , pp. 181-209
    • Magri, F.1
  • 12
    • 0000757211 scopus 로고
    • Reduction of poisson manifolds
    • Marsden JE and Ratiu T, Reduction of Poisson Manifolds, Lett. Math. Phys., 1986, V.11, 161-169.
    • (1986) Lett. Math. Phys. , vol.11 , pp. 161-169
    • Marsden, J.E.1    Ratiu, T.2
  • 14
    • 0030502877 scopus 로고    scopus 로고
    • R-matrix theory, formal casimirs and the periodic toda lattice
    • Morosi C and Pizzocchero L, R-Matrix Theory, Formal Casimirs and the Periodic Toda Lattice, J. Math. Phys., 1996, V.37, 4484-4513.
    • (1996) J. Math. Phys. , vol.37 , pp. 4484-4513
    • Morosi, C.1    Pizzocchero, L.2
  • 15
    • 0000315646 scopus 로고
    • The quantum toda chain
    • Meudon/Paris1983/1984, Lecture Notes in Phys. 226, Springer, Berlin
    • Sklyanin E K, The Quantum Toda Chain, in Nonlinear Equations in Classical and Quantum Field Theory, Meudon/Paris, 1983/1984, Lecture Notes in Phys. 226, Springer, Berlin, 1985, 196-233.
    • (1985) Nonlinear Equations in Classical and Quantum Field Theory , pp. 196-233
    • Sklyanin, E.K.1
  • 16
    • 0002681157 scopus 로고
    • Separations of variables: New trends
    • Sklyanin E K, Separations of Variables: New Trends, Progr. Theor. Phys. Suppl., 1995, V.118, 35-60.
    • (1995) Progr. Theor. Phys. Suppl. , vol.118 , pp. 35-60
    • Sklyanin, E.K.1


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