Traveling wave structures of some fourth-order nonlinear partial differential equations

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dc.contributor.authorEsen, Handenur
dc.contributor.authorÖzdemir, Neslihan
dc.contributor.authorSeçer, Aydın
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2023-04-24T10:17:09Z
dc.date.available2023-04-24T10:17:09Z
dc.date.issued2023en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractThis study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method. In this method, utilizing a traveling wave transformation with the aid of the Riccati-Bernoulli equation, the fourth-order equation can be transformed into a set of algebraic equations. Solving the set of algebraic equations, we acquire the novel exact solutions of the integrable fourth-order equations presented in this research paper. The physical interpretation of the nonlinear models are also detailed through the exact solutions, which demonstrate the effectiveness of the presented method.The Bäcklund transformation can produce an infinite sequence of solutions of the given two fourth-order nonlinear partial differential equations. Finally, 3D graphs of some derived solutions in this paper are depicted through suitable parameter values.en_US
dc.identifier.doi10.1016/j.joes.2021.12.006en_US
dc.identifier.endpage132en_US
dc.identifier.issn2468-0133
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85122308395en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage124en_US
dc.identifier.urihttps://hdl.handle.net/11363/4495
dc.identifier.urihttps://doi.org/
dc.identifier.volume8en_US
dc.identifier.wosWOS:000962104500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDSen_US
dc.relation.ispartofJournal of Ocean Engineering and Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFourth-order equationsen_US
dc.subjectRiccati-Bernoulli sub-ODE methoden_US
dc.subjectTraveling wave solutionen_US
dc.subjectBäcklund transformationen_US
dc.titleTraveling wave structures of some fourth-order nonlinear partial differential equationsen_US
dc.typeArticleen_US

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