dorsal/arxiv
View SchemaCanonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systems
| Authors | Andrey Tsiganov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9909006 |
| URL | https://arxiv.org/abs/solv-int/9909006 |
| DOI | 10.1088/0305-4470/33/22/318 |
| Journal | J. Phys. A, Math. Gen. 33, No.22, 4169-4182, (2000) |
Abstract
We consider compositions of the transformations of the time variable and canonical transformations of the other coordinates, which map completely integrable system into other completely integrable system. Change of the time gives rise to transformations of the integrals of motion and the Lax pairs, transformations of the corresponding spectral curves and R-matrices. As an example, we consider canonical transformations of the extended phase space for the Toda lattices and the Stackel systems.
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"abstract": "We consider compositions of the transformations of the time variable and\ncanonical transformations of the other coordinates, which map completely\nintegrable system into other completely integrable system. Change of the time\ngives rise to transformations of the integrals of motion and the Lax pairs,\ntransformations of the corresponding spectral curves and R-matrices. As an\nexample, we consider canonical transformations of the extended phase space for\nthe Toda lattices and the Stackel systems.",
"arxiv_id": "solv-int/9909006",
"authors": [
"Andrey Tsiganov"
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"categories": [
"solv-int",
"nlin.SI"
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"doi": "10.1088/0305-4470/33/22/318",
"journal_ref": "J. Phys. A, Math. Gen. 33, No.22, 4169-4182, (2000)",
"title": "Canonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systems",
"url": "https://arxiv.org/abs/solv-int/9909006"
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