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

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

2009-05-12

arxiv.org/abs/0905.1810v2

J. Avan and G. Rollet, JMP, 50, 072701 (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1063/1.3155789

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.

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