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When the deformation parameter tends to $\pm2$, the spectral parameter dependence drops out, and we recover the linear and quadratic Poisson structure of the Camassa--Holm peakon model.
When the spectral parameter tends to the fixed points of the involution defining the halving, we recover the Ragnisco--Bruschi deformation of the Camassa--Holm peakon model, thereby establishing a new quadratic Poisson structure thereof.
From: E. Ragoucy [view email]
[v1]
Thu, 11 Dec 2025 19:35:22 UTC (21 KB)
[v2]
Wed, 24 Jun 2026 12:50:17 UTC (23 KB)
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