On Calogero-Francoise-type Lax matrices and their dynamical r-matrices
Abstract
New classical integrable systems of Camassa-Holm peakon type are proposed. They realize the maximal even piecewise-D2 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 pi and qi of canonical variables.
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