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Canonical transformations of the time for the Toda lattice and the Holt system

Andrey Tsiganov
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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 Bäcklund transformation.

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Andrey Tsiganov. 1999-10-29. Canonical transformations of the time for the Toda lattice and the Holt system. https://doi.org/10.1088/0305-4470%2F33%2F26%2F308

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