Exact solutions for the third-order dispersive-Fisher equations

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dc.authorid0000-0002-9344-7308
dc.authorid0000-0001-9683-6096
dc.authorscopusid35093185300
dc.authorscopusid57164517400
dc.authorwosidPINAR, Zehra/ABA-1990-2020
dc.contributor.authorPınar, Zehra
dc.contributor.authorKoçak, Hüseyin
dc.date.accessioned2022-05-11T14:31:22Z
dc.date.available2022-05-11T14:31:22Z
dc.date.issued2018
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we reveal the exact solutions of the third-order semilinear and nonlinear dispersive equations containing Fisher-like nonlinearity, i.e. dispersion-reaction models, which can be used in physical and engineering applications, such as fibre optics, communication theory and transport in porous media. The variants of auxiliary equation method, which are based on Mathieu, Bernoulli and classical Riccati equations, are used for these equations. Obtained solutions are discussed and illustrated in details. Although studies on the third-order equations have been intriguing for many years, the proposed equations were not studied in the literature. We believe that the proposed results will be key part of further analytical and numerical studies for waves in the dispersive medium with reaction.
dc.identifier.doi10.1007/s11071-017-3878-2
dc.identifier.endpage426
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85032384681
dc.identifier.scopusqualityQ1
dc.identifier.startpage421
dc.identifier.urihttps://doi.org/10.1007/s11071-017-3878-2
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7427
dc.identifier.volume91
dc.identifier.wosWOS:000418838900027
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorPınar, Zehra
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofNonlinear Dynamics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAuxiliary equation method
dc.subjectBernoulli equation
dc.subjectMathieu equation
dc.subjectTanh-method
dc.subjectThird-order equation
dc.subjectTravelling wave solutions
dc.subjectTraveling-Wave Solutions
dc.subjectAuxiliary Equation
dc.subjectRational Solutions
dc.subjectSoliton-Solutions
dc.titleExact solutions for the third-order dispersive-Fisher equations
dc.typeArticle

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