New solutions for conformable fractional Nizhnik-Novikov-Veselov system via G'/G expansion method and homotopy analysis methods

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dc.contributor.authorKurt, A.
dc.contributor.authorTasbozan, O.
dc.contributor.authorBaleanu, D.
dc.date.accessioned2024-09-18T20:52:45Z
dc.date.available2024-09-18T20:52:45Z
dc.date.issued2017
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractThe main purpose of this paper is to find the exact and approximate analytical solution of Nizhnik-Novikov-Veselov system which may be considered as a model for an incompressible fluid with newly defined conformable derivative by using G'/G expansion method and homotopy analysis method (HAM) respectively. Authors used conformable derivative because of its applicability and lucidity. It is known that, the NNV system of equations is an isotropic Lax integrable extension of the well-known KdV equation and has physical significance. Also, NNV system of equations can be derived from the inner parameter-dependent symmetry constraint of the KP equation. Then the exact solutions obtained by using G'/G expansion method are compared with the approximate analytical solutions attained by employing HAM.en_US
dc.identifier.doi10.1007/s11082-017-1163-8
dc.identifier.issn0306-8919
dc.identifier.issn1572-817X
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85029955015en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s11082-017-1163-8
dc.identifier.urihttps://hdl.handle.net/20.500.12483/11376
dc.identifier.volume49en_US
dc.identifier.wosWOS:000413620100006en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofOptical and Quantum Electronicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNizhnik-Novikov-Veselov systemen_US
dc.subjectG'/G Expansionen_US
dc.subjectConformable derivativeen_US
dc.subjectHomotopy analysis methoden_US
dc.titleNew solutions for conformable fractional Nizhnik-Novikov-Veselov system via G'/G expansion method and homotopy analysis methodsen_US
dc.typeArticleen_US

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