{"paper":{"title":"Two-peakon dynamics in the Clifford algebra generalization of the Camassa-Holm equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Alexander Karlson, Jacek Szmigielski","submitted_at":"2026-08-08T15:40:21Z","abstract_excerpt":"We study the dynamics of a two-component perturbation of the Camassa--Holm equation arising from a reformulation of the Euler--Bernoulli beam problem, recently extended to a general Clifford algebra setting. We focus on the original case associated with a Clifford algebra with two generators and Minkowski signature, for which the resulting equation admits nonsmooth soliton solutions (peakons) carrying internal degrees of freedom.\n  We investigate analytically and numerically the dynamics of a two-peakon solution and establish the existence of a synchronized exchange of energy between spatially"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.08194","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.08194/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}