The last integrable case of kozlov-Treshchev Birkhoff integrable potentials
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
We establish the integrability of the last open case in the Kozlov-Treshchev classification of Birkhoff integrable Hamiltonian systems. The technique used is a modification of the so called quadratic Lax pair for Toda lattice combined with a method used by M. Ranada in proving the integrability of the Sklyanin case.
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Cite
@article{arxiv.math-ph/0701027,
title = {The last integrable case of kozlov-Treshchev Birkhoff integrable potentials},
author = {Pantelis A. Damianou and Vassilis Papageorgiou},
journal= {arXiv preprint arXiv:math-ph/0701027},
year = {2009}
}
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13 pages