The Maupertuis principle and integrable systems

Details The Maupertuis principle and integrable systems The Maupertuis principle and integrable systems

2000-09-25

arxiv.org/abs/nlin/0009044v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages, LaTeX, a review for J.Nonlinear Math. Phys

Scientific paper

We discuss some special classes of canonical transformations of the extended phase space, which relate integrable systems with a common Lagrangian submanifold. Various parametric forms of trajectories are associated with different integrals of motion, Lax equations, separated variables and action-angles variables. In this review we will discuss namely these induced transformations instead of the various parametric form of the geometric objects.

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