Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2018-12-24T04:30:31Z
dc.date.available2018-12-24T04:30:31Z
dc.date.issued2018-09-11
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractThe basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q-nonextensive nonthermal velocity distribution are examined through the use of modified PLK formalism and the reductive perturbation method and obtained the KdV equation for the lowest order term in the perturbation expansion. The method is further extended to include the contribution of higher order terms in the expansion; the evolution equation for the second order term is found to be the degenerate(linearized) KdV equation with non-homogeneous term. Seekink the localized travelling wave solution (solitons) to these evolution equations we obtained the speed correction terms and the wave profiles. Numerical results for the set of suitable parameters( Williams et. al. [23]) are shown inb the form of some graphs. The combined effect of nonextensive parameter (q) and the nonthermal parameter (alpha) on the soliton dynamics has also been studied.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2018). Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution. TWMS Journal of Applied and Engineering Mathematics, 8(2), 438-447.en_US
dc.identifier.endpage447
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85058291750
dc.identifier.scopusqualityQ4
dc.identifier.startpage438
dc.identifier.urihttps://hdl.handle.net/11729/1434
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/99-vol8no2/362
dc.identifier.volume8
dc.identifier.wosWOS:000451973900009
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectSolitonsen_US
dc.subjectTsallis statisticsen_US
dc.subjectNonthermal distributionen_US
dc.subjectDouble-layersen_US
dc.subjectPlasmaen_US
dc.subjectDusty plasmasen_US
dc.subjectIon acoustic wavesen_US
dc.subjectLighthill methoden_US
dc.titleHigher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distributionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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Koleksiyon

Makale Koleksiyonu | Matematik Bölümü
JAEM 2018, Vol 8, No 2
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