A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution

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dc.authorid0000-0001-8590-3396
dc.authorid0000-0002-3654-0469
dc.contributor.authorDemiray, Hilmien_US
dc.contributor.authorBayındır, Cihanen_US
dc.date.accessioned2015-11-06T11:17:22Z
dc.date.available2015-11-06T11:17:22Z
dc.date.issued2015-09
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Civil Engineeringen_US
dc.description.abstractIn the present work, we consider the propagation of nonlinear electron-acoustic non-planar waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations of the above described plasma are re-examined in the cylindrical coordinates through the use reductive perturbation method in the long-wave approximation. The modified cylindrical Korteweg-de Vries equation with fractional power nonlinearity is obtained as the evolution equation. Due to the nature of nonlinearity, which is fractional, this evolution equation cannot be reduced to the conventional Korteweg-de Vries equation. An analytical solution to the evolution equation, by use of the method developed by Demiray [Appl. Math. Comput. 132, 643 (2002); Comput. Math. Appl. 60, 1747 (2010)] and a numerical solution by employing a spectral scheme are presented and the results are depicted in a figure. The numerical results reveal that both solutions are in good agreement.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. & Bayındır, C. (2015). A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution. Physics of Plasmas, 22(9), 1-5. doi:10.1063/1.4929863en_US
dc.identifier.doi10.1063/1.4929863
dc.identifier.endpage5
dc.identifier.issn1070-664X
dc.identifier.issn1089-7674
dc.identifier.issue9
dc.identifier.scopus2-s2.0-84941118815
dc.identifier.scopusqualityQ1
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/702
dc.identifier.urihttp://dx.doi.org/10.1063/1.4929863
dc.identifier.volume22
dc.identifier.wosWOS:000362571800020
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorBayındır, Cihanen_US
dc.institutionauthorid0000-0001-8590-3396
dc.institutionauthorid0000-0002-3654-0469
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofPhysics of Plasmasen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDe-vries equationen_US
dc.subjectKdv equationen_US
dc.subjectPropagationen_US
dc.subjectSolitonsen_US
dc.subjectTransformen_US
dc.subjectWateren_US
dc.subjectAcoustic wave propagationen_US
dc.subjectControl nonlinearitiesen_US
dc.subjectCylindrical coordinatesen_US
dc.subjectCylindrical Korteweg-de Vriesen_US
dc.subjectDifferential equationsen_US
dc.subjectElectron distributionsen_US
dc.subjectElectronsen_US
dc.subjectEvolution equationsen_US
dc.subjectHot electronsen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectLong-wave approximationen_US
dc.subjectNonlinear equationsen_US
dc.subjectNumerical resultsen_US
dc.subjectNumerical solutionen_US
dc.subjectPerturbation techniquesen_US
dc.subjectReductive perturbation methodsen_US
dc.subjectSolitonsen_US
dc.subjectTrapped ionsen_US
dc.subjectWater wavesen_US
dc.titleA note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distributionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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