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This article is cited in 2 scientific papers (total in 2 papers)
Canonical transformations of the extended phase space and integrable systems
A. V. Tsiganov St. Petersburg State University, Faculty of Physics
Abstract:
We investigate the explicit construction of a canonical transformation of the time variable and the Hamiltonian whereby a given completely integrable system is mapped into another integrable system. The change of time induces a transformation of the equations of motion and of their solutions, the integrals of motion, the methods of separation of variables, the Lax matrices, and the corresponding $r$-matrices. For several specific families of integrable systems (Toda chains, Holt systems, and Stäckel-type systems), we construct canonical transformations of time in the extended phase space that preserve the integrability property.
Received: 29.06.1999 Revised: 07.10.1999
Citation:
A. V. Tsiganov, “Canonical transformations of the extended phase space and integrable systems”, TMF, 124:1 (2000), 72–94; Theoret. and Math. Phys., 124:1 (2000), 918–937
Linking options:
https://www.mathnet.ru/eng/tmf627https://doi.org/10.4213/tmf627 https://www.mathnet.ru/eng/tmf/v124/i1/p72
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Abstract page: | 571 | Full-text PDF : | 231 | References: | 80 | First page: | 1 |
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