Obtaining the soliton solutions of local M-fractional magneto-electro-elastic media

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dc.authoridOzisik, Muslum/0000-0001-6143-5380
dc.authoridOzdemir, Neslihan/0000-0003-1649-0625
dc.authoridSecer, Aydin/0000-0002-8372-2441
dc.authoridBayram, Mustafa/0000-0002-2994-7201
dc.authoridOzdemir, Neslihan/0000-0003-1649-0625
dc.contributor.authorOzdemir, Neslihan
dc.contributor.authorSecer, Aydin
dc.contributor.authorOzisik, Muslum
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2024-09-11T19:50:57Z
dc.date.available2024-09-11T19:50:57Z
dc.date.issued2023
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractIn this research paper, the generalized projective Riccati equations method (GPREM) is applied successfully to procure the soliton solutions of the local M-fractional longitudinal wave equation (LWE) arising in mathematical physics with dispersion caused by the transverse Poisson's effect in a magneto-electro-elastic circular rod (MEECR). Applying a wave transformation to the local M-fractional LWE, the equation can be turned into a set of algebraic equations. Solving the algebraic equation system, we procure the soliton solutions of the local M-fractional LWE. Both the obtained solution functions in the study and the graphical simulations depicted for these functions. It will assist researchers working in this field in the physical interpretation of this equation. Moreover, the reported solutions propose a rich platform to examine the local M-fractional LWE.en_US
dc.identifier.doi10.1016/j.heliyon.2023.e13015
dc.identifier.issn2405-8440
dc.identifier.issue1en_US
dc.identifier.pmid36711318en_US
dc.identifier.scopus2-s2.0-85146709649en_US
dc.identifier.urihttps://doi.org/10.1016/j.heliyon.2023.e13015
dc.identifier.urihttps://hdl.handle.net/11363/7709
dc.identifier.volume9en_US
dc.identifier.wosWOS:000969499600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherCell Pressen_US
dc.relation.ispartofHeliyonen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240903_Gen_US
dc.subjectGPREMen_US
dc.subjectThe longitudinal wave equationen_US
dc.subjectTruncated M-fractional derivative (t-MFD)en_US
dc.subjectSolitonen_US
dc.titleObtaining the soliton solutions of local M-fractional magneto-electro-elastic mediaen_US
dc.typeArticleen_US

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