Abundant soliton solutions in saturated ferromagnetic materials modeled via the fractional Kraenkel–Manna–Merle system

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dc.contributor.authorLoubna Ouahid
dc.contributor.authorMaryam Alshahrani
dc.contributor.authorA. Mohamed Abdel-Baset
dc.contributor.authorM. A. Abdou
dc.contributor.authorAli Akgül
dc.contributor.authorMurad Khan Hassani
dc.date.accessioned2025-03-04T11:54:07Z
dc.date.available2025-03-04T11:54:07Z
dc.date.issued2025-02-25
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThe Modified Generalized Riccati Equation Mapping Technique is employed to discover novel solutions for the Fractional Kraenkel-Manna-Merle system. In this system, a nonlinear of ultra_short wave pulse propagates across saturated ferromagnetic-materials by very low conductance. The beta-derivative is used to analyze the fractional performance of the proposed system. Combo-multi soliton shape, anti-bell-shaped solitons, kink bright-dark shape are the results of the applications. The results obtained are original and unfamiliar to the reader, as they had not been published previously. For a few chosen solutions, two dimensional, and three dimensional are shown to offer important insights into the behavior and properties of the solutions. These detailed exact solutions and wave phenomena contribute to a deeper understanding of this equation. This work opens up new possibilities for exploring wave phenomena in more complexly structured nonlinear.
dc.identifier.citationOuahid, L., Alshahrani, M., Abdel-Baset, A. M., Abdou, M. A., Akgül, A., & Hassani, M. K. (2025). Abundant soliton solutions in saturated ferromagnetic materials modeled via the fractional Kraenkel–Manna–Merle system. Scientific Reports, 15(1), 6763.
dc.identifier.doi10.1038/s41598-024-78668-w
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid40000626
dc.identifier.urihttps://doi.org/10.1038/s41598-024-78668-w
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8544
dc.identifier.volume15
dc.indekslendigikaynakPubMed
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBeta-derivative (BD)
dc.subjectFractional Kraenkel Manna Merle (FKMM) system
dc.subjectModified generalized Riccati equation mapping technique (MGREMT).
dc.titleAbundant soliton solutions in saturated ferromagnetic materials modeled via the fractional Kraenkel–Manna–Merle system
dc.typejournal-article
oaire.citation.issue1
oaire.citation.volume15

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