Analytic solutions of the time-fractional Boiti-Leon-Manna-Pempinelli equation via novel transformation technique

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dc.contributor.authorBushra Yasmeen
dc.contributor.authorKhalil Ahmad
dc.contributor.authorAli Akgül
dc.contributor.authorQasem Al-Mdallal
dc.date.accessioned2025-05-27T07:40:47Z
dc.date.available2025-05-27T07:40:47Z
dc.date.issued2025-05-20
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThis paper presents new analytical solutions for the time-fractional Boiti-Leon-Manna-Pempinelli (BLMP) equation, a crucial model for physical phenomena. Our approach yields novel wave solutions, whose propagation and dynamics are examined for diverse parameter values. The obtained solutions contain rational and natural logarithm functions. The graphical representations of the attained solutions are represented by plotted graphs with suitable parameters. The plotted graphs show different solitons and nonlinear wave solutions. The examination of these solutions involves a comprehensive analysis of their propagation and dynamics through analytic techniques. Our results with existing literature and found that our approach yields more accurate and efficient solutions. The novelty of these solutions is essential for understanding nonlinear behavior and natural phenomena. By developing analytical methods for nonlinear equations, this work advances our knowledge of complex systems. The results provide valuable insights into the equation’s behavior, shedding light on the underlying physical mechanisms. This research contributes to the development of analytical methods for nonlinear equations, fostering future research in the field. The findings are relevant to various areas of physics, including wave dynamics and nonlinear systems.
dc.identifier.citationYasmeen, B., Ahmad, K., Akgül, A., & Al-Mdallal, Q. (2025). Analytic solutions of the time-fractional Boiti-Leon-Manna-Pempinelli equation via novel transformation technique. Scientific Reports, 15(1), 1-15.
dc.identifier.doi10.1038/s41598-025-00901-x
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid40394031
dc.identifier.scopus2-s2.0-105005534089
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-025-00901-x
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8681
dc.identifier.volume15
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
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.subjectAnalytic solution
dc.subjectBoiti-Leon-Manna-Pempinelli
dc.subjectEuler’s second order linear ODE
dc.subjectFractional calculus
dc.subjectNew variable transformations
dc.subjectTime-fractional Boiti-Leon-Manna-Pempinelli
dc.subjectTime-fractional derivative
dc.titleAnalytic solutions of the time-fractional Boiti-Leon-Manna-Pempinelli equation via novel transformation technique
dc.typejournal-article
oaire.citation.issue1
oaire.citation.volume15

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