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The Hamiltonian Structures of the Two-Dimensional Toda Lattice and R-Matrices

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Abstract

We construct the tri-Hamiltonian structure of the two-dimensional Toda hierarchy using the R-matrix theory.

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  1. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, CB3 0WB, U.K

    Guido Carlet

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  1. Guido Carlet
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Correspondence to Guido Carlet.

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Mathematical Subject Classifications (1991). 37K10.

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Carlet, G. The Hamiltonian Structures of the Two-Dimensional Toda Lattice and R-Matrices. Lett Math Phys 71, 209–226 (2005). https://doi.org/10.1007/s11005-005-0629-y

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  • DOI: https://doi.org/10.1007/s11005-005-0629-y

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