Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves

Basit Öğe Kaydı
dc.authorid0000-0001-7266-1893
dc.authorid0000-0001-8590-3396
dc.contributor.authorEl-Zahar, Essam Roshdyen_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2019-04-25T02:04:46Z
dc.date.available2019-04-25T02:04:46Z
dc.date.issued2019-06
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the nonplanar geometry we derived cylindrical(spherical) KdV and mKdV equations. Being aware of the fact that there exists no exact analytical solution for the progressive waves for such evolution equations we presented the exact analytical solution of a generalized form of such evolution equations in the planar geometry and used this solution to obtain an analytical approximate progressive wave solution to the generalized evolution equation. Then the progressive wave solutions for the cylindrical(spherical) KdV and m-KdV equations is obtained as some special cases. The analytical approximate solutions so obtained are compared with the numerical solutions of these equations. The results reveal that both solutions are in a good agreement. One advantage of present analytical approximate solution is that it allows readers to gain information, share understandings, or carry out a physical parametric study on the evolution solution behavior as well as the solution calculation has no CPU time-consuming or round off error.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationEl-Zahar, E. R. & Demiray, H. (2019). Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves. Results in Physics, 13, 1-9. doi:10.1016/j.rinp.2019.02.090en_US
dc.identifier.doi10.1016/j.rinp.2019.02.090
dc.identifier.endpage9
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85062352679
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/1577
dc.identifier.urihttp://dx.doi.org/10.1016/j.rinp.2019.02.090
dc.identifier.volume13
dc.identifier.wosWOS:000476618700044
dc.identifier.wosqualityQ1
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.publisherElsevier B.V.en_US
dc.relation.ispartofResults in Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytical approximate solutionsen_US
dc.subjectCylindrical(spherical) KdV and mKdV equationsen_US
dc.subjectElectron-acoustic wavesen_US
dc.subjectReductive perturbation methoden_US
dc.subjectEquationen_US
dc.subjectPlasmasen_US
dc.subjectFieldsen_US
dc.titleAnalytical solutions of cylindrical and spherical dust ion-acoustic solitary wavesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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