A quadratic Poisson bracket for generalized Camassa-Holm peakons is derived from a halved r-matrix, giving a bi-Hamiltonian structure and a new Ragnisco-Bruschi quadratic bracket.
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Quadratic Poisson brackets for the Camassa--Holm peakons
A quadratic Poisson bracket for generalized Camassa-Holm peakons is derived from a halved r-matrix, giving a bi-Hamiltonian structure and a new Ragnisco-Bruschi quadratic bracket.