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

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

1999-10-29

arxiv.org/abs/solv-int/9911001v1

J. Phys. A, Math. Gen. 33, No.26, 4825-4835, (2000)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX2e, +amssymb.cls, 8 p

Scientific paper

10.1088/0305-4470/33/26/308

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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