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On the exact solutions of nonlinear evolution equations by the improved tan(φ/2)-expansion method

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dc.contributor.buuauthorÖzkan, Yeşim Sağlam
dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0002-1364-5137tr_TR
dc.contributor.researcheridG-5333-2017tr_TR
dc.contributor.researcheridAAG-9947-2021tr_TR
dc.contributor.scopusid57193338830tr_TR
dc.contributor.scopusid23471031300tr_TR
dc.date.accessioned2023-10-09T11:57:58Z
dc.date.available2023-10-09T11:57:58Z
dc.date.issued2020-01-31
dc.description.abstractIn this paper, the improved tan (φ/ 2)-expansion method (ITEM) is proposed to obtain more general exact solutions of the nonlinear evolution equations (NLEEs). This method is applied to the generalised Hirota–Satsuma coupled KdV (HScKdV) equation and (2 + 1)-dimensional Nizhnik–Novikov–Veselov (NNV) system. We have obtained four types of solutions of these equations such as hyperbolic, trigonometric, exponential and rational functions as an advantage of this method. These solutions include solitons, rational, periodic and kink solutions. Moreover, modulation instability is used to establish stability of the obtained solutions.en_US
dc.identifier.citationÖzkan,Y. S. ve Yaşar, E. (2020). "On the exact solutions of nonlinear evolution equations by the improved tan(φ/2)-expansion method". Pramana - Journal of Physics, 94(1).en_US
dc.identifier.issn0973-7111
dc.identifier.issn03044289
dc.identifier.issue1tr_TR
dc.identifier.scopus2-s2.0-85078843807tr_TR
dc.identifier.urihttps://doi.org/10.1007/s12043-019-1883-3
dc.identifier.urihttps://link.springer.com/content/pdf/10.1007/s12043-019-1883-3.pdf
dc.identifier.urihttp://hdl.handle.net/11452/34262
dc.identifier.volume94tr_TR
dc.identifier.wos000518035200001
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherIndian Acad Sciencesen_US
dc.relation.journalPramana - Journal of Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectImproved tan(phi/2)-expansion methoden_US
dc.subject(2+1)-dimensional Nizhnik-Novikov-Veselov systemen_US
dc.subjectGeneralised hirota-satsuma coupled KdV equationen_US
dc.subjectTraveling-wave solutionsen_US
dc.subjectCoupled KDV equationen_US
dc.subjectExpansion methoden_US
dc.subject(G'/G)-Expansion methoden_US
dc.subjectCoherent structuresen_US
dc.subjectPeridoic-solutionsen_US
dc.subjectSoliton-solutionsen_US
dc.subjectMKDVen_US
dc.subjectPhysicsen_US
dc.subjectDifferential equationsen_US
dc.subjectHyperbolic functionsen_US
dc.subjectRational functionsen_US
dc.subject02.30.Jren_US
dc.subject04.20.Jben_US
dc.subjectExact solutionen_US
dc.subjectExpansion methodsen_US
dc.subjectKink solutionen_US
dc.subjectModulation instabilitiesen_US
dc.subjectNonlinear evolution equationen_US
dc.subjectNonlinear equationsen_US
dc.subject.scopusExact solution; Optical solitons; (G'G)-expansion methoden_US
dc.subject.wosPhysics, multidisciplinaryen_US
dc.titleOn the exact solutions of nonlinear evolution equations by the improved tan(φ/2)-expansion methoden_US
dc.typeArticle
dc.wos.quartileQ2en_US
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümütr_TR

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