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

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dc.authorscopusid 36903183800
dc.authorscopusid 7005872966
dc.authorscopusid 26635282900
dc.authorscopusid 56328280100
dc.authorscopusid 23028598900
dc.authorscopusid 57192179836
dc.contributor.author Hosseini,K.
dc.contributor.author Baleanu,D.
dc.contributor.author Hincal,E.
dc.contributor.author Manukure,S.
dc.contributor.author Salahshour,S.
dc.contributor.author Kaymakamzade,B.
dc.date.accessioned 2024-05-25T12:18:34Z
dc.date.available 2024-05-25T12:18:34Z
dc.date.issued 2024
dc.department Okan University en_US
dc.department-temp Hosseini 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, Turkey en_US
dc.description.abstract The 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.citationcount 0
dc.identifier.doi 10.1007/s40819-024-01706-8
dc.identifier.issn 2349-5103
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-85187932252
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1007/s40819-024-01706-8
dc.identifier.uri https://hdl.handle.net/20.500.14517/1724
dc.identifier.volume 10 en_US
dc.institutionauthor Salahshour, Soheıl
dc.institutionauthor Salahshour S.
dc.language.iso en
dc.publisher Springer en_US
dc.relation.ispartof International Journal of Applied and Computational Mathematics en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 6
dc.subject Geophysical KdV equation en_US
dc.subject Integrability en_US
dc.subject Kink-type solitary waves en_US
dc.subject Kudryashov method en_US
dc.subject Painlevé analysis en_US
dc.subject Source en_US
dc.title Painlevé Analysis and Kink-Type Solitary Waves of the Geophysical KdV Equation Involving a Source en_US
dc.type Article en_US

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