Explicit solutions of classical generalized Toda models

DOI10.1016/0167-2789(81)90121-4zbMath1194.37108OpenAlexW1986355636MaRDI QIDQ5901215

Mikhail A. Olshanetsky

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(81)90121-4

Mathematics Subject Classification ID

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

Cites Work

• The solution to a generalized Toda lattice and representation theory
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Completely integrable classical systems connected with semisimple Lie algebras
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Integrals of the Toda lattice
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals
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