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Report on 2309.08412v1
We provide a closed Poisson algebra involving the Ragnisco-Bruschi generalization of peakon dynamics in the Camassa-Holm shallow-water equation.This algebra is generated by three independent matrices.From this presentation, we propose a one-parameter integrable extension of their structure.It leads to a new N -body peakon solution to the Camassa-Holm shallow-water equation depending …