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dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2018-12-11T03:48:04Z
dc.date.available2018-12-11T03:48:04Z
dc.date.issued2018-07-01
dc.identifier.citationDemiray, H. (2018). Modulation of cylindrical (spherical) waves in a plasma with vortex electron distribution. Physics of Plasmas, 25(7), 1-6. doi:10.1063/1.5040795en_US
dc.identifier.issn1070-664Xen_US
dc.identifier.issn1089-7674en_US
dc.identifier.urihttps://hdl.handle.net/11729/1409
dc.identifier.urihttp://dx.doi.org/10.1063/1.5040795
dc.description.abstractIn the present work, employing cylindrically (spherically) symmetric field equations of a plasma consisting of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution and stationary ions, we studied the amplitude modulation of electron-acoustic waves. Due to the physical nature of the problem under investigation, the nonlinearity of the field equations is of order (3/2), which causes considerable difficulty in the analysis of modulation problems. To solve this difficulty, we expanded this nonlinear term into the Fourier cosine series of the phase function and obtained the modified cylindrical (spherical) nonlinear Schrodinger (NLS) equation. A consistent analysis for the modulational instability is presented and a criterion between the time parameter tau and the wave number K is established. In addition, motivated with the solitonic solution of modified NLS equation for planar case and utilizing the "weighted residual method," we proposed a harmonic wave of variable frequency with progressive wave amplitude to the evolution equation. It is found that the modified cylindrical (spherical) NLS equation assumes an envelope type of progressive wave solution in the sense weighted residual. The numerical results reveal that the amplitude of spherical wave is much larger than that of the cylindrical wave and that both amplitudes decrease with increasing time parameter tau. It is further observed that the wave profiles get distorted with progressing time.en_US
dc.language.isoenen_US
dc.publisherAmerican Institute of Physics Inc.en_US
dc.relation.ispartofPhysics of Plasmasen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectIon-acoustic-wavesen_US
dc.subjectDe-vries Equationen_US
dc.subjectInstabilityen_US
dc.subjectAcousticsen_US
dc.subjectDusten_US
dc.subjectDust acousticen_US
dc.subjectControl nonlinearitiesen_US
dc.subjectElectronsen_US
dc.subjectFourier seriesen_US
dc.subjectHot electronsen_US
dc.subjectModulationen_US
dc.subjectNonlinear equationsen_US
dc.subjectSpheresen_US
dc.subjectTrapped ionsen_US
dc.subjectElectron acoustic wavesen_US
dc.subjectElectron distributionsen_US
dc.subjectEvolution equationsen_US
dc.subjectModulational instabilityen_US
dc.subjectProgressive wave solutionsen_US
dc.subjectSolitonic solutionsen_US
dc.subjectVariable frequenciesen_US
dc.subjectWeighted residual methoden_US
dc.titleModulation of cylindrical (spherical) waves in a plasma with vortex electron distributionen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.authorid0000-0001-8590-3396
dc.authorid0000-0001-8590-3396en_US
dc.identifier.volume25
dc.identifier.issue7
dc.identifier.startpage1
dc.identifier.endpage6
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.institutionauthorDemiray, Hilmien_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.identifier.wosqualityQ3
dc.identifier.wosqualityQ3en_US
dc.identifier.wosWOS:000440589100014
dc.identifier.wosWOS:000440589100014en_US
dc.identifier.scopus2-s2.0-85050249978en_US
dc.identifier.doi10.1063/1.5040795
dc.identifier.scopusqualityQ1en_US


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