The modified reductive perturbation method as applied to the Boussinesq equation

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:49Z
dc.date.available2015-01-15T23:00:49Z
dc.date.issued2007-08
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 of Korteweg-de Vries (KdV) hierarchy. Seeking localized travelling wave solutions to these evolution equations we have determined the scale parameter g, so as to remove the possible secularities that might occur. To indicate the effectiveness and the elegance of the present method, we studied the problem of the "dressed solitary wave method" and obtained exactly the same result. The present method seems to be fairly simple and practical as compared to the renormalization method and the multiple scale expansion method existing in the current literature.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2007). The modified reductive perturbation method as applied to the boussinesq equation. Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 62(7-8), 347-352. doi:10.1515/zna-2007-7-801en_US
dc.identifier.doi10.1515/zna-2007-7-801
dc.identifier.endpage352
dc.identifier.issn0932-0784
dc.identifier.issue7-8
dc.identifier.scopus2-s2.0-39049173564
dc.identifier.scopusqualityQ3
dc.identifier.startpage347
dc.identifier.urihttps://hdl.handle.net/11729/253
dc.identifier.urihttp://dx.doi.org/10.1515/zna-2007-7-801
dc.identifier.volume62
dc.identifier.wosWOS:000249494500001
dc.identifier.wosqualityQ3
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.publisherVerlag Z Naturforschen_US
dc.relation.ispartofZeitschrift fur Naturforschung - Section A Journal of Physical Sciencesen_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.subjectKorteweg-de Vries hierarchyen_US
dc.subjectSolitary wavesen_US
dc.subjectDe vries hierarchyen_US
dc.subjectHigher-order termsen_US
dc.titleThe modified reductive perturbation method as applied to the Boussinesq equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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