On Calogero-Francoise-type Lax matrices and their dynamical r-matrices
Exactly Solvable and Integrable Systems
2009-09-10 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
New classical integrable systems of Camassa-Holm peakon type are proposed. They realize the maximal even piecewise-D_2 generalization of the Calogero-Francoise flows, yielding periodic and pseudoperiodic trigonometric/hyperbolic potentials. The associated r-matrices are computed. They are dynamical and depend on both sets {p_i} and {q_i} of canonical variables.
Keywords
Cite
@article{arxiv.0905.1810,
title = {On Calogero-Francoise-type Lax matrices and their dynamical r-matrices},
author = {Jean Avan and Genevieve Rollet},
journal= {arXiv preprint arXiv:0905.1810},
year = {2009}
}