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Toda lattice realization of integrable hierarchies

✍ Scribed by L. Bonora; C. P. Constantinidis; E. Vinteler


Publisher
Springer
Year
1996
Tongue
English
Weight
512 KB
Volume
38
Category
Article
ISSN
0377-9017

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The Toda lattice is super-integrable
✍ Maria A. Agrotis; Pantelis A. Damianou; Christodoulos Sophocleous πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 144 KB

We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N Γ€ 1 independent constants of motion, where N is the number of degrees of freedom. The main ingredient of the proof is the use of some special action-angle coordinates introduced b