Canonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systems

Details Canonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systems Canonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systems

1999-09-10

arxiv.org/abs/solv-int/9909006v1

J. Phys. A, Math. Gen. 33, No.22, 4169-4182, (2000)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX2e + Amssymb, 22pp

Scientific paper

10.1088/0305-4470/33/22/318

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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