Contribution of higher order terms in electron-acoustic solitary waves with vortex electron distribution

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:02:49Z
dc.date.available2015-01-15T23:02:49Z
dc.date.issued2014-12
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 equations describing the nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions, in the long-wave limit, are re-examined through the use of the modified PLK method. Introducing the concept of strained coordinates and expanding the field variables into a power series of the smallness parameter epsilon, a set of evolution equations is obtained for various order terms in the perturbation expansion. The evolution equation for the lowest order term in the perturbation expansion is characterized by the conventional modified Korteweg-deVries (mKdV) equation, whereas the evolution equations for the higher order terms in the expansion are described by the degenerate(linearized) mKdV equation. By studying the localized traveling wave solution to the evolution equations, the strained coordinate for this order is determined so as to remove possible secularities that might occur in the solution. It is observed that the coefficient of the strained coordinate for this order corresponds to the correction term in the wave speed. The numerical results reveal that the contribution of second order term to the wave amplitude is about 20 %, which cannot be ignored.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2014). Contribution of higher order terms in electron-acoustic solitary waves with vortex electron distribution. Zeitschrift Für Angewandte Mathematik Und Physik, 65(6), 1223-1231. doi:10.1007/s00033-013-0394-1en_US
dc.identifier.doi10.1007/s00033-013-0394-1
dc.identifier.endpage1231
dc.identifier.issn0044-2275
dc.identifier.issn1420-9039
dc.identifier.issue6
dc.identifier.scopus2-s2.0-84923800613
dc.identifier.scopusqualityQ1
dc.identifier.startpage1223
dc.identifier.urihttps://hdl.handle.net/11729/508
dc.identifier.urihttp://dx.doi.org/10.1007/s00033-013-0394-1
dc.identifier.volume65
dc.identifier.wosWOS:000345337000010
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringer Basel AGen_US
dc.relation.ispartofZeitschrift für angewandte Mathematik und Physiken_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectElectron-acoustic wavesen_US
dc.subjectSolitary wavesen_US
dc.subjectModified KdV equationsen_US
dc.subjectModified PLK methoden_US
dc.subjectReductive perturbation methoden_US
dc.subjectPropagationen_US
dc.subjectPlasmaen_US
dc.subjectAcoustic wavesen_US
dc.subjectAcousticsen_US
dc.subjectDifferential equationsen_US
dc.subjectElectronsen_US
dc.subjectHot electronsen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectTrapped ionsen_US
dc.subjectWave plasma interactionsen_US
dc.subjectElectron acoustic solitary wavesen_US
dc.subjectElectron acoustic wavesen_US
dc.subjectElectron distributionsen_US
dc.subjectEvolution equationsen_US
dc.subjectKdV equationsen_US
dc.subjectModified PLK methoden_US
dc.subjectPerturbation expansionsen_US
dc.subjectTraveling wave solutionen_US
dc.subjectNonlinear equationsen_US
dc.subjectWater wavesen_US
dc.titleContribution of higher order terms in electron-acoustic solitary waves with vortex electron distributionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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