{
  "abstract": "In this paper, we study the nonlinear Schrödinger equation with a nonlinearity combining a focusing logarithmic term and a smooth $L^2$-subcritical function. Our main result is the construction of multisoliton solutions for this equation. These special configurations behave asymptotically, for large times, as the superposition of several solitons moving with distinct velocities. The proof relies on an iterative construction method combined with localized energy estimates adapted to the mixed structure of the nonlinearity.",
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  "article_type": null,
  "arxiv": "2609.18625",
  "author_total": 1,
  "authors": [
    {
      "name": "Mohamed Bensaid"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/72q78f1zdbyvy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18625",
  "fulltext_url": null,
  "id": "72q78f1zdbyvy",
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  "landing_url": "https://hal.science/hal-05749149v1",
  "language": "en",
  "licence": "CC-BY-4.0",
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      "math.AP"
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      "openalex",
      "2610|Advanced Mathematical Physics Problems"
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  "openalex": "W7213497484",
  "pdf_url": "https://hal.science/hal-05749149/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/72q78f1zdbyvy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:34Z",
      "native_id": "hal-05749149",
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      "url": "https://hal.science/hal-05749149v1"
    },
    {
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      "native_id": "2609.18625",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18625"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
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  ],
  "title": "Existence of multi-solitons for logarithmic Schrödinger equation with a perturbation of a smooth $L^2$-subcritical function nonlinearity",
  "title_text": "Existence of multi-solitons for logarithmic Schrödinger equation with a perturbation of a smooth L^2-subcritical function nonlinearity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/72q78f1zdbyvy",
  "venue": "HAL",
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}