{"paper":{"title":"On peaked solitary waves of Degasperis - Procesi equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Shijun Liao","submitted_at":"2012-05-24T11:07:10Z","abstract_excerpt":"The Degasperis - Procesi (DP) equation describing the propagation of shallow water waves contains a physical parameter $\\omega$, and it is well-known that the DP equation admits solitary waves with a peaked crest when $\\omega = 0$. In this article, we illustrate, for the first time, that the DP equation admits peaked solitary waves even when $\\omega \\neq 0$. This is helpful to enrich our knowledge and deepen our understandings about peaked solitary waves of the DP equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5396","kind":"arxiv","version":2},"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"}