An application of the modified reductive perturbation method to a generalized boussinesq equation

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:02:17Z
dc.date.available2015-01-15T23:02:17Z
dc.date.issued2013-02
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn this work, we apply "the modified reductive perturbation method" to the generalized Boussinesq equation and obtain various form of generalized KdV equations as the evolution equations. Seeking a localized travelling wave solutions for these evolution equations we determine the scale parameters g(1) and g(2), which corresponds to the correction terms in the wave speed, so as to remove the possible secularities that might occur. Depending on the sign and the values of certain parameters the resulting solutions are shown to be a solitary wave or a periodic solution. The suitability of the method is also shown by comparing the results with the exact travelling wave solution for the generalized Boussinesq equation.en_US
dc.description.versionAuthor's Copyen_US
dc.identifier.citationDemiray, H. (2013). An application of the modified reductive perturbation method to a generalized boussinesq equation. International Journal of Nonlinear Sciences and Numerical Simulation, 14(1), 27-31. doi:10.1515/ijnsns-2011-0088en_US
dc.identifier.doi10.1515/ijnsns-2011-0088
dc.identifier.endpage31
dc.identifier.issn1565-1339
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84878003066
dc.identifier.scopusqualityQ2
dc.identifier.startpage27
dc.identifier.urihttps://hdl.handle.net/11729/493
dc.identifier.urihttp://dx.doi.org/10.1515/ijnsns-2011-0088
dc.identifier.volume14
dc.identifier.wosWOS:000322959400003
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.publisherWalter De Gruyter GMBHen_US
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectModified reductive perturbation methoden_US
dc.subjectGeneralized boussinesq equationen_US
dc.subjectGeneralized KdV equationsen_US
dc.subjectHigher-order termsen_US
dc.subjectSolitary wavesen_US
dc.subjectElastic tubesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleAn application of the modified reductive perturbation method to a generalized boussinesq equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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