{
  "abstract": "In this paper we present an integrable model in two dimensions. It is a deformation of the sine(sinh)-Gordon model. We give its Lax connection. We also obtain its (classical) $r$-matrix. It satisfies the classical Yang-Baxter equation. Thus, the model is a classical integrable field theory in two dimensions. The underlying algebra is a ${\\cal Z}$-graded non-Lie alternative Akivis algebra. An alternative Akivis algebra is the tangent space at the identity of an analytic alternative loop as a Lie algebra is the tangent space at the identity of a Lie group. We expect the model to be integrable at the quantum level. We also give a family of classically integrable models which are related to the Poisson-Boltzmann equation in two dimensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.15794",
  "author_total": 1,
  "authors": [
    {
      "name": "Meseret Asrat"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c4vdvk1nwz9hd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.15794",
  "fulltext_url": null,
  "id": "c4vdvk1nwz9hd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.15794",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "nlin.SI"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.15794",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c4vdvk1nwz9hd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2606.15794",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.15794"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.SI",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "An integrable deformation of the sine(sinh)-Gordon model -- Non-Lie algebra",
  "title_text": "An integrable deformation of the sine(sinh)-Gordon model -- Non-Lie algebra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/c4vdvk1nwz9hd",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/jhep09(2026)208",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}