Painlevé Analysis and Kink-Type Solitary Waves of the Geophysical KdV Equation Involving a Source

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dc.authorscopusid36903183800
dc.authorscopusid7005872966
dc.authorscopusid26635282900
dc.authorscopusid56328280100
dc.authorscopusid23028598900
dc.authorscopusid57192179836
dc.contributor.authorHosseini,K.
dc.contributor.authorSalahshour, Soheıl
dc.contributor.authorHincal,E.
dc.contributor.authorManukure,S.
dc.contributor.authorSalahshour,S.
dc.contributor.authorKaymakamzade,B.
dc.date.accessioned2024-05-25T12:18:34Z
dc.date.available2024-05-25T12:18:34Z
dc.date.issued2024
dc.departmentOkan Universityen_US
dc.department-tempHosseini K., Mathematics Research Center, Near East University TRNC, Nicosia, Mersin 10, 99138, Turkey, Department of Mathematics, Near East University TRNC, Nicosia, Mersin 10, 99138, Turkey, Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon, Faculty of Art and Science, University of Kyrenia, Kyrenia, TRNC, Mersin 10, Turkey; Baleanu D., Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon, Institute of Space sciences-Subsidiary of INFLPR, Magurele-Bucharest, Romania; Hincal E., Mathematics Research Center, Near East University TRNC, Nicosia, Mersin 10, 99138, Turkey, Department of Mathematics, Near East University TRNC, Nicosia, Mersin 10, 99138, Turkey, Faculty of Art and Science, University of Kyrenia, Kyrenia, TRNC, Mersin 10, Turkey; Manukure S., Department of Mathematics, Florida A & amp;M University, Tallahassee, 32307, FL, United States; Salahshour S., Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey, Faculty of Science and Letters, Piri Reis University, Tuzla, Istanbul, Turkey; Kaymakamzade B., Mathematics Research Center, Near East University TRNC, Nicosia, Mersin 10, 99138, Turkey, Department of Mathematics, Near East University TRNC, Nicosia, Mersin 10, 99138, Turkey, Faculty of Art and Science, University of Kyrenia, Kyrenia, TRNC, Mersin 10, Turkeyen_US
dc.description.abstractThe geophysical KdV equation is used to explore the propagation of oceanic waves. In the present paper, the geophysical KdV equation involving a source (The source is a polynomial of degree n in the unknown function) is formally introduced. Through the Painlevé analysis, it is shown that the geophysical KdV equation with the source is not integrable. Under some necessary conditions for integrability, several kink-type solitary waves to the special cases of the governing model when n=2 and n=4 are derived using the classical Kudryashov method. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.en_US
dc.identifier.citation0
dc.identifier.doi10.1007/s40819-024-01706-8
dc.identifier.issn2349-5103
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85187932252
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s40819-024-01706-8
dc.identifier.urihttps://hdl.handle.net/20.500.14517/1724
dc.identifier.volume10en_US
dc.institutionauthorSalahshour, Soheıl
dc.institutionauthorSalahshour S.
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.ispartofInternational Journal of Applied and Computational Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeophysical KdV equationen_US
dc.subjectIntegrabilityen_US
dc.subjectKink-type solitary wavesen_US
dc.subjectKudryashov methoden_US
dc.subjectPainlevé analysisen_US
dc.subjectSourceen_US
dc.titlePainlevé Analysis and Kink-Type Solitary Waves of the Geophysical KdV Equation Involving a Sourceen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf5ba517c-75fb-4260-af62-01c5f5912f3d
relation.isAuthorOfPublication.latestForDiscoveryf5ba517c-75fb-4260-af62-01c5f5912f3d

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