{
  "abstract": "In this paper, we investigate wave breaking for the nonlocal Whitham-type equations. We establish more general wave breaking criteria that strictly extend earlier wave breaking criteria for the nonlocal Whitham-type equations. The approach relies on analyzing the monotonicity and continuity properties of a linear combination comprising the supremum and infimum of the solution's slope. Further generalizations are demonstrated via applications to the Camassa-Holm equation, the $μ$-Camassa-Holm equation and the hyperelastic rod equation. Our refined approach yields more precise wave breaking criteria, thereby extending the theoretical understanding of singularity formation in dispersive waves.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27832",
  "author_total": 3,
  "authors": [
    {
      "name": "Jian Chen"
    },
    {
      "name": "Shaojie Yang"
    },
    {
      "name": "Zhaoyang Yin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/efyz7saaz3c4q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27832",
  "fulltext_url": null,
  "id": "efyz7saaz3c4q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27832",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "3109|Nonlinear Waves and Solitons"
    ]
  ],
  "openalex": "W7223128234",
  "pdf_url": "https://arxiv.org/pdf/2610.27832",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/efyz7saaz3c4q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.27832",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27832"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Wave breaking for the nonlocal Whitham-type equations",
  "title_text": "Wave breaking for the nonlocal Whitham-type equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/efyz7saaz3c4q",
  "venue": "arXiv",
  "versions": []
}