{
  "annotation_id": "7f32b553-d10d-48e9-a6b1-5405dbffb925",
  "date_created": "2026-03-02T18:02:51.407000Z",
  "date_modified": "2026-03-02T18:02:51.407000Z",
  "file_hash": "c0d0e7ffe7e167243ce6a5967e45aab5788099de71c5000745fe996de99837af",
  "private": false,
  "record": {
    "abstract": "The integrability of a family of hamiltonian systems, describing in a\nparticular case the motionof N ``peakons\" (special solutions of the so-called\nCamassa-Holm equation) is established in the framework of the $r$-matrix\napproach, starting from its Lax representation. In the general case, the\n$r$-matrix is a dynamical one and has an interesting though complicated\nstructure. However, for a particular choice of the relevant parameters in the\nhamiltonian (the one corresponding to the pure ``peakons\" case), the $r$-matrix\nbecomes essentially constant, and reduces to the one pertaining to the finite\n(non-periodic) Toda lattice. Intriguing consequences of such property are\ndiscussed and an integrable time discretisation is derived.",
    "arxiv_id": "solv-int/9509012",
    "authors": [
      "O. Ragnisco",
      "M. Bruschi"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/0378-4371(95)00438-6",
    "title": "Peakons, R-Matrix and Toda-Lattice",
    "url": "https://arxiv.org/abs/solv-int/9509012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f69a80b3-a89e-4ecb-8c50-f31ce1091040",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}