On bi-hamiltonian structure of some integrable systems on so*(4)
Exactly Solvable and Integrable Systems
2015-06-26 v3 Mathematical Physics
math.MP
Abstract
We classify all the quadratic Poisson structures on and , which have the same foliation by symplectic leaves as the canonical Lie-Poisson tensors. The separated variables for the some of the corresponding bi-integrable systems are constructed.
Cite
@article{arxiv.nlin/0703062,
title = {On bi-hamiltonian structure of some integrable systems on so*(4)},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:nlin/0703062},
year = {2015}
}
Comments
LaTeX with Amsfonts, 13 pages, corrected typos