On Calogero-Francoise-type Lax matrices and their dynamical r-matrices

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Avan, Jean
Rollet, Genevieve
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Abstract
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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
Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Mathematical Physics
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