Lie group analysis and exact solutions of nonlinear dispersive equations for porous media

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dc.authorscopusid35093185300
dc.authorscopusid57164517400
dc.contributor.authorPınar, Zehra
dc.contributor.authorKoçak, Hüseyin
dc.date.accessioned2022-05-11T14:04:43Z
dc.date.available2022-05-11T14:04:43Z
dc.date.issued2022
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractDispersive equations have recently been attractive in the nonlinear wave phenomena appearing in many applications of science and engineering. In this work, the symmetry solutions of the dispersive equation with porous medium-type nonlinearity, which is a generalized nonlinear dispersion–diffusion model, are revealed. To obtain the exact solutions of nonlinear equations, various techniques, including the ansatz methods, are applied in the literature. This work uses the classical Lie group of transformations, which is the most general and effective one. The long-time behaviour of solutions is discussed regarding the different powers of nonlinearities. © 2022, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
dc.identifier.doi10.1140/epjp/s13360-022-02406-2
dc.identifier.issn2190-5444
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85124338135
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1140/epjp/s13360-022-02406-2
dc.identifier.urihttps://hdl.handle.net/20.500.11776/4736
dc.identifier.volume137
dc.identifier.wosWOS:000750833400002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorPınar, Zehra
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofEuropean Physical Journal Plus
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleLie group analysis and exact solutions of nonlinear dispersive equations for porous media
dc.typeArticle

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