Integrability of Toda lattice by generalized variational symmetry approach
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Publication:4201741
DOI10.1063/1.530142zbMath0778.58057OpenAlexW2032395780MaRDI QIDQ4201741
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Publication date: 6 September 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530142
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Related Items (7)
Bogoyavlensky-Volterra and Birkhoff integrable systems ⋮ MULTIPLE HAMILTONIAN STRUCTURE OF BOGOYAVLENSKY–TODA LATTICES ⋮ An integrable three-particle system ⋮ A new integrable Toda-related three-particle system ⋮ Lax formalism for a family of integrable Toda-related n-particle systems ⋮ Integrable three-particle systems, hidden symmetries and deformations of the Calogero–Moser system ⋮ On an integrable case of Kozlov-Treshchev Birkhoff integrable potentials
Cites Work
- Linearization on a submanifold of integrable Hamiltonians with polynomial potentials
- The Toda lattice, Dynkin diagrams, singularities and Abelian varieties
- Three integrable Hamiltonian systems connected with isospectral deformations
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- Dynamical symmetries and conserved quantities
- Hamiltonians with high-order integrals and the ‘‘weak-Painlevé’’ concept
- Generalised symmetries of some nonlinear finite-dimensional systems
- Contact symmetries and integrable non-linear dynamical systems
- Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem
- Generalized Lie symmetries and complete integrability of certain nonlinear Hamiltonian systems with three degrees of freedom
- New aspects of integrability of generalized Henon-Heiles systems
- Integrals of the Toda lattice
- On the Toda Lattice. II: Inverse-Scattering Solution
- The Toda lattice. II. Existence of integrals
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