{"paper":{"title":"Cusp solitons to the long-short waves equation and the $\\bar\\partial$-dressing method","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Junyi Zhu, Yonghui Kuang","submitted_at":"2014-06-26T02:18:16Z","abstract_excerpt":"The dressing method based on $3\\times3$ matrix $\\bar{\\partial}$-problem is extended to study the long-short waves equation with the cases $\\sigma=\\pm1$. The soliton solutions for the long-short wave equation for $\\sigma=\\pm1$ are given by means of the properties of Cauchy matrix. It is shown that the long-short wave equation for $\\sigma=1$ has the cusp solitons."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6749","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"}