New completely integrable cases of two- or three-dimensional systems of the Toda lattice type
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Publication:997898
DOI10.1016/S0375-9601(00)00303-0zbMath1115.37337OpenAlexW2080516988MaRDI QIDQ997898
Publication date: 8 August 2007
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00303-0
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Cites Work
- The solution to a generalized Toda lattice and representation theory
- Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky
- Three integrable Hamiltonian systems connected with isospectral deformations
- The toda flow on a generic orbit is integrable
- On the Toda Lattice. II: Inverse-Scattering Solution
- The Toda lattice. II. Existence of integrals
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