Solutions of the periodic Toda lattice by the projection and the algebraic-geometric methods

DOI10.1023/A:1012363903865zbMath1029.37036arXivnlin/0107034OpenAlexW100665925MaRDI QIDQ1417235

Mikhail A. Olshanetsky

Publication date: 4 January 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0107034

zbMATH Keywords

reductionprojection methodperiodic Toda latticeKriechever construction

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) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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