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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.orcid0000-0002-1364-5137
dc.contributor.researcheridG-5333-2017
dc.contributor.researcheridAAG-9947-2021
dc.contributor.scopusid57193338830
dc.contributor.scopusid23471031300
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.
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).
dc.identifier.issn0973-7111
dc.identifier.issn03044289
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85078843807
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.volume94
dc.identifier.wos000518035200001
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherIndian Acad Sciences
dc.relation.journalPramana - Journal of Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectImproved tan(phi/2)-expansion method
dc.subject(2+1)-dimensional Nizhnik-Novikov-Veselov system
dc.subjectGeneralised hirota-satsuma coupled KdV equation
dc.subjectTraveling-wave solutions
dc.subjectCoupled KDV equation
dc.subjectExpansion method
dc.subject(G'/G)-Expansion method
dc.subjectCoherent structures
dc.subjectPeridoic-solutions
dc.subjectSoliton-solutions
dc.subjectMKDV
dc.subjectPhysics
dc.subjectDifferential equations
dc.subjectHyperbolic functions
dc.subjectRational functions
dc.subject02.30.Jr
dc.subject04.20.Jb
dc.subjectExact solution
dc.subjectExpansion methods
dc.subjectKink solution
dc.subjectModulation instabilities
dc.subjectNonlinear evolution equation
dc.subjectNonlinear equations
dc.subject.scopusExact solution; Optical solitons; (G'G)-expansion method
dc.subject.wosPhysics, multidisciplinary
dc.titleOn the exact solutions of nonlinear evolution equations by the improved tan(φ/2)-expansion method
dc.typeArticle
dc.wos.quartileQ2
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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