{
  "abstract": "In this work, we construct analytical kink-antikink $(K\\bar{K})$ configurations in the non-integrable $φ^4$ model by mapping exact solutions of the integrable sine-Gordon system via a field deformation. This procedure yields two distinct classes of configurations, parametrized by the initial half-separation and velocity. We compare these profiles with the standard additive superposition Ansatz in terms of vacuum structure and equation-of-motion residuals, deriving explicit closed-form expressions for the corresponding integrated squared residuals. For small separations, the mapped soliton-antisoliton configurations exhibit appreciably smaller residuals than the naive superposition Ansatz, which in turn performs better than the mapped two-soliton configurations. Although the mapped fields are not exact solutions of the $φ^4$ equation of motion, they provide mathematically consistent, topologically sound, and physically motivated initial data for numerical studies of kink-antikink scattering and resonance phenomena.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15091",
  "author_total": 5,
  "authors": [
    {
      "name": "Aliakbar Moradi Marjaneh"
    },
    {
      "name": "Danial Saadatmand"
    },
    {
      "name": "Fabiano C. Simas"
    },
    {
      "name": "Jarah Evslin"
    },
    {
      "name": "Dionisio Bazeia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2at2azrqwdzy9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15091",
  "fulltext_url": null,
  "id": "2at2azrqwdzy9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15091",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "nlin.PS"
    ],
    [
      "openalex",
      "3109|Nonlinear Waves and Solitons"
    ]
  ],
  "openalex": "W7213347577",
  "pdf_url": "https://arxiv.org/pdf/2609.15091",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2at2azrqwdzy9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15091",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15091"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.PS",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Deformation of sine-Gordon two-soliton solutions in $φ^4$ kink-antikink configurations",
  "title_text": "Deformation of sine-Gordon two-soliton solutions in φ^4 kink-antikink configurations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/2at2azrqwdzy9",
  "venue": "arXiv",
  "versions": []
}