Solitary wave solutions to Gardner equation using improved tan(Ω(Υ)/2-expansion method

dc.contributor.authorAkram, Ghazala
dc.contributor.authorSadaf, Maasoomah
dc.contributor.authorDawood, Mirfa
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.contributor.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.date.accessioned2024-10-24T07:55:00Z
dc.date.available2024-10-24T07:55:00Z
dc.date.issued2023
dc.description.abstractIn this study, the improved tan(Ω(Υ)/2-expansion method is used to construct a variety of precise soliton and other solitary wave solutions of the Gardner equation. Gardner equation is extensively utilized in plasma physics, quantum field theory, solid-state physics and fluid dynamics. It is the simplest model for the description of water waves with dual power law nonlinearity. Hyperbolic, exponential, rational and trigonometric traveling wave solutions are obtained. The retrieved solutions include kink solitons, bright solitons, dark-bright solitons and periodic wave solutions. The efficacy of this method is determined by the comparison of the newly obtained results with already reported results.tr_TR
dc.identifier.citationAkram, Ghazala...et al (2023). "Solitary wave solutions to Gardner equation using improved tan(Ω(Υ)/2-expansion method", AIMS Mathematics, Vol. 8, No. 2, pp. 4390-4406.tr_TR
dc.identifier.endpage4406tr_TR
dc.identifier.issn2473-6988
dc.identifier.issue2tr_TR
dc.identifier.startpage4390tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8519
dc.identifier.volume8tr_TR
dc.language.isoengtr_TR
dc.relation.isversionof10.3934/math.2023219tr_TR
dc.relation.journalAIMS Mathematicstr_TR
dc.rightsinfo:eu-repo/semantics/openAccesstr_TR
dc.subjectExact Solutionstr_TR
dc.subjectExponential Solutiontr_TR
dc.subjectGardner Equationtr_TR
dc.subjectHyperbolic Solutiontr_TR
dc.subjectImproved Tan(Ω(Υ)/2)-Expansion Methodtr_TR
dc.subjectRational Functiontr_TR
dc.subjectSolitary Wavestr_TR
dc.subjectSolitonstr_TR
dc.titleSolitary wave solutions to Gardner equation using improved tan(Ω(Υ)/2-expansion methodtr_TR
dc.typearticletr_TR

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