dorsal/arxiv
View SchemaCanonical transformations of the time for the Toda lattice and the Holt system
| Authors | Andrey Tsiganov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9911001 |
| URL | https://arxiv.org/abs/solv-int/9911001 |
| DOI | 10.1088/0305-4470/33/26/308 |
| Journal | J. Phys. A, Math. Gen. 33, No.26, 4825-4835, (2000) |
Abstract
For the Toda lattice and the Holt system we consider properties of canonical transformations of the extended phase space, which preserve integrability. The separated variables are invariant under change of the time. On the other hand, mapping of the time induces transformations of the action-angles variables and a shift of the generating function of the B\"{a}cklund transformation.
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"abstract": "For the Toda lattice and the Holt system we consider properties of canonical\ntransformations of the extended phase space, which preserve integrability. The\nseparated variables are invariant under change of the time. On the other hand,\nmapping of the time induces transformations of the action-angles variables and\na shift of the generating function of the B\\\"{a}cklund transformation.",
"arxiv_id": "solv-int/9911001",
"authors": [
"Andrey Tsiganov"
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"doi": "10.1088/0305-4470/33/26/308",
"journal_ref": "J. Phys. A, Math. Gen. 33, No.26, 4825-4835, (2000)",
"title": "Canonical transformations of the time for the Toda lattice and the Holt system",
"url": "https://arxiv.org/abs/solv-int/9911001"
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