{
  "abstract": "Computed herein are examples of mode-2 internal solitary waves to the Dubreil-Jacotin-Long (DJL) equation. These are localised, fully nonlinear waves in a continuously stratified, inviscid fluid under the Boussinesq and rigid-lid approximations. The equation is solved directly using finite differences on a periodic domain, enabling the computation of both generalised solitary waves, which possess oscillatory mode-1 tails, and embedded solitary waves, whose tails vanish. Two stratifications are considered. The first is a double pycnocline, generalising the three-layer system considered by Doak et al. (2022) by replacing each infinitesimal interface with a pycnocline of finite thickness. The second stratification, a surface mixed layer above an exponentially stratified layer, shows that embedded mode-2 solitary waves are not restricted to double-pycnocline stratifications. These are the first mode-2 solitary waves of the DJL equation computed for stratifications that are asymmetric about mid-depth.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37289",
  "author_total": 3,
  "authors": [
    {
      "name": "Alex Doak"
    },
    {
      "name": "Ricardo Barros"
    },
    {
      "name": "Paul l A. Milewski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1gepr6hf1ymkq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37289",
  "fulltext_url": null,
  "id": "1gepr6hf1ymkq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37289",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "3109|Nonlinear Waves and Solitons"
    ]
  ],
  "openalex": "W7224116791",
  "pdf_url": "https://arxiv.org/pdf/2610.37289",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1gepr6hf1ymkq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.37289",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37289"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Mode-2 solitary waves in continuous stratifications",
  "title_text": "Mode-2 solitary waves in continuous stratifications",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:50Z",
  "url": "https://research.draconitic.com/paper/1gepr6hf1ymkq",
  "venue": "arXiv",
  "versions": []
}