{"paper":{"title":"Peakons, R-Matrix and Toda-Lattice","license":"","headline":"","cross_cats":["nlin.SI"],"primary_cat":"solv-int","authors_text":"M.Bruschi (Phys. Dep. Univ. Rome \"La Sapienza\"), O.Ragnisco (Phys. Dept. Univ. Rome III)","submitted_at":"1995-09-28T14:00:56Z","abstract_excerpt":"The integrability of a family of hamiltonian systems, describing in a particular case the motionof N ``peakons\" (special solutions of the so-called Camassa-Holm equation) is established in the framework of the $r$-matrix approach, starting from its Lax representation. In the general case, the $r$-matrix is a dynamical one and has an interesting though complicated structure. However, for a particular choice of the relevant parameters in the hamiltonian (the one corresponding to the pure ``peakons\" case), the $r$-matrix becomes essentially constant, and reduces to the one pertaining to the finit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9509012","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}