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The Poisson structure on the coordinate ring of discrete Lax operator and Toda lattice equation

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Publication:1342752
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DOI10.1006/aama.1994.1015zbMath0863.58033OpenAlexW1999073247MaRDI QIDQ1342752

Kaoru Ikeda

Publication date: 3 June 1997

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1994.1015


zbMATH Keywords

Hamiltonian formalismPoisson structureLax equationcompletely integrable system


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)


Related Items (4)

The higher order Hamiltonian structures for the modified classical Yang-Baxter equation ⋮ The Hamiltonian systems on the Poisson structure of the quasi-classical limit of \(GL_ q(\infty{})\) ⋮ On the spectral resolution of the quantum Toda lattice ⋮ On the integrability of deformation quantized Toda lattice




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