An application of modified reductive perturbation method to long water waves

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:50Z
dc.date.available2015-01-15T23:01:50Z
dc.date.issued2011-12
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 extended the application of "the modified reductive perturbation method" to long water waves and obtained the governing equations as the KdV hierarchy. Seeking a localized travelling wave solutions to these evolution equations we determined the scale parameter c(1) so as to remove the possible secularities that might occur. The present method is seen to be fairly simple as compared to the renormalization method [Kodama, Y., & Taniuti, T. (1977). Higher order approximation in reductive perturbation method 1. Weakly dispersive system. Journal of Physics Society of Japan, 45, 298-310] and the multiple scale expansion method [Kraenkel, R. A., Manna, M. A., & Pereira, J. G. (1995). The Korteweg-deVries hierarchy and long water waves. Journal of Mathematics Physics, 36, 307-320].en_US
dc.description.versionPublisher's Versionen_US
dc.description.versionAuthor Post Printen_US
dc.identifier.citationDemiray, H. (2011). An application of modified reductive perturbation method to long water waves. International Journal of Engineering Science, 49(12), 1397-1403. doi:10.1016/j.ijengsci.2011.04.002en_US
dc.identifier.doi10.1016/j.ijengsci.2011.04.002
dc.identifier.endpage1403
dc.identifier.issn0020-7225
dc.identifier.issue12
dc.identifier.scopus2-s2.0-80053952179
dc.identifier.scopusqualityQ1
dc.identifier.startpage1397
dc.identifier.urihttps://hdl.handle.net/11729/399
dc.identifier.urihttp://dx.doi.org/10.1016/j.ijengsci.2011.04.002
dc.identifier.volume49
dc.identifier.wosWOS:000296681100012
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.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofInternational Journal of Engineering Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectModified reductive perturbation methoden_US
dc.subjectWater wavesen_US
dc.subjectKorteweg-de Vries hierarchyen_US
dc.subjectHigher-order termsen_US
dc.subjectSolitary wavesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectDispersive systemsen_US
dc.subjectEvolution equationsen_US
dc.subjectGoverning equationsen_US
dc.subjectHigher-order approximationen_US
dc.subjectKdV hierarchyen_US
dc.subjectKorteweg-de Vriesen_US
dc.subjectLong water wavesen_US
dc.subjectMultiple-scale expansionen_US
dc.subjectReductive perturbation methodsen_US
dc.subjectRenormalization methodsen_US
dc.subjectScale parameteren_US
dc.subjectTravelling wave solutionen_US
dc.subjectHydrodynamicsen_US
dc.subjectWavesen_US
dc.subjectPerturbation techniquesen_US
dc.titleAn application of modified reductive perturbation method to long water wavesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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