Multiple time scale formalism and its application to long water waves

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:35Z
dc.date.available2015-01-15T23:01:35Z
dc.date.issued2010-05
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, by employing the multiple time scaling method, we studied the non-linear waves in shallow-water problem and obtained a set of Korteweg-deVries equations governing the various order terms in the perturbation expansion. By seeking a travelling wave type of solutions for the evolution equations, we have obtained a set of wave speeds associated with each time parameter. It is shown that the speed corresponding to the lowest order time parameter given the wave speed of the conventional reductive perturbation method, whereas the wave speeds corresponding to the higher order time parameters give the speed correction terms. The result obtained here is exactly the same with that of Demiray [H. Demiray, Modified reductive perturbation method as applied to long water waves: Korteweg-deVries hierarchy, Int. J. Nonlinear Sci. 6 (2008) 11-20] who employed the modified reductive perturbation method.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2010). Multiple time scale formalism and its application to long water waves. Applied Mathematical Modelling, 34(5), 1187-1193. doi:10.1016/j.apm.2009.08.006en_US
dc.identifier.doi10.1016/j.apm.2009.08.006
dc.identifier.endpage1193
dc.identifier.issn0307-904X
dc.identifier.issue5
dc.identifier.scopus2-s2.0-74349114687
dc.identifier.scopusqualityQ1
dc.identifier.startpage1187
dc.identifier.urihttps://hdl.handle.net/11729/367
dc.identifier.urihttp://dx.doi.org/10.1016/j.apm.2009.08.006
dc.identifier.volume34
dc.identifier.wosWOS:000274820600005
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 Science Incen_US
dc.relation.ispartofApplied Mathematical Modellingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectWater wavesen_US
dc.subjectMultiple time scalingen_US
dc.subjectSolitary wavesen_US
dc.subjectReductive perturbation methoden_US
dc.subjectIon-acoustic-wavesen_US
dc.subjectEvolution equationsen_US
dc.subjectHigher orderen_US
dc.subjectLong water wavesen_US
dc.subjectMultiple time scaleen_US
dc.subjectNonlinear wavesen_US
dc.subjectPerturbation expansionsen_US
dc.subjectShallow-wateren_US
dc.subjectSolitary waveen_US
dc.subjectTime parameteren_US
dc.subjectTime-scalingen_US
dc.subjectTravelling wavesen_US
dc.subjectWave speeden_US
dc.subjectDifferential equationsen_US
dc.subjectHydrodynamicsen_US
dc.subjectNonlinear equationsen_US
dc.subjectSpeeden_US
dc.subjectWave equationsen_US
dc.subjectWavesen_US
dc.subjectPerturbation techniquesen_US
dc.titleMultiple time scale formalism and its application to long water wavesen_US
dc.typeArticleen_US
dspace.entity.typePublication

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
367.pdf
Boyut:
207.83 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Publisher's Version
İndir

Koleksiyon

Makale Koleksiyonu | Matematik Bölümü
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu