A study of higher order terms in shallow water waves via modified PLK method

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:02:51Z
dc.date.available2015-01-15T23:02:51Z
dc.date.issued2014-04
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, by utilizing the modified PLK (Poincare-Lighthill-Kou) method, we studied the propagation of weakly nonlinear waves in a shallow water theory and obtained the Korteweg-deVries (KdV) and the linearized KdV equations with non-homogeneous term as the governing equations of various order terms in the perturbation expansion. The result obtained here is exactly the same with that of Kodama and Taniuti [6], who employed the so-called "re-normalization method". Seeking a progressive wave solution to these evolution equations we obtained the speed correction terms so as to remove some possible secularities. The result obtained here is consistent with the results of Demiray [12], wherein the modified reductive perturbation method had been utilized.en_US
dc.description.versionPublisher's Versionen_US
dc.description.versionAuthor's Copyen_US
dc.identifier.citationDemiray, H. (2014). A study of higher order terms in shallow water waves via modified PLK method. International Journal of Nonlinear Sciences and Numerical Simulation, 15(2), 129-134. doi:10.1515/ijnsns-2013-0003en_US
dc.identifier.doi10.1515/ijnsns-2013-0003
dc.identifier.endpage134
dc.identifier.issn1565-1339
dc.identifier.issn2191-0294
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84903591724
dc.identifier.scopusqualityQ2
dc.identifier.startpage129
dc.identifier.urihttps://hdl.handle.net/11729/538
dc.identifier.urihttp://dx.doi.org/10.1515/ijnsns-2013-0003
dc.identifier.volume15
dc.identifier.wosWOS:000339167100005
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/closedAccessen_US
dc.subjectShallow water wavesen_US
dc.subjectModified PLK methoden_US
dc.subjectSolitary wavesen_US
dc.subjectReductive perturbation methoden_US
dc.subjectIon-acoustic-wavesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleA study of higher order terms in shallow water waves via modified PLK methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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