The Maupertuis principle and integrable systems
Exactly Solvable and Integrable Systems
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.nlin/0009044,
title = {The Maupertuis principle and integrable systems},
author = {Andrey Tsiganov},
journal= {arXiv preprint arXiv:nlin/0009044},
year = {2007}
}
Comments
23 pages, LaTeX, a review for J.Nonlinear Math. Phys