dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:01:50Z | |
dc.date.available | 2015-01-15T23:01:50Z | |
dc.date.issued | 2011-12 | |
dc.identifier.citation | Demiray, 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.2011.04.002 | en_US |
dc.identifier.issn | 0020-7225 | |
dc.identifier.uri | https://hdl.handle.net/11729/399 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.ijengsci.2011.04.002 | |
dc.description.abstract | In 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.language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
dc.relation.isversionof | 10.1016/j.ijengsci.2011.04.002 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Modified reductive perturbation method | en_US |
dc.subject | Water waves | en_US |
dc.subject | Korteweg-de Vries hierarchy | en_US |
dc.subject | Higher-order terms | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Solitons | en_US |
dc.subject | Dispersive systems | en_US |
dc.subject | Evolution equations | en_US |
dc.subject | Governing equations | en_US |
dc.subject | Higher-order approximation | en_US |
dc.subject | KdV hierarchy | en_US |
dc.subject | Korteweg-de Vries | en_US |
dc.subject | Long water waves | en_US |
dc.subject | Multiple-scale expansion | en_US |
dc.subject | Reductive perturbation methods | en_US |
dc.subject | Renormalization methods | en_US |
dc.subject | Scale parameter | en_US |
dc.subject | Travelling wave solution | en_US |
dc.subject | Hydrodynamics | en_US |
dc.subject | Waves | en_US |
dc.subject | Perturbation techniques | en_US |
dc.title | An application of modified reductive perturbation method to long water waves | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.description.version | Author Post Print | en_US |
dc.relation.journal | International Journal of Engineering Science | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0001-8590-3396 | |
dc.identifier.volume | 49 | |
dc.identifier.issue | 12 | |
dc.identifier.startpage | 1397 | |
dc.identifier.endpage | 1403 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Demiray, Hilmi | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q1 | |
dc.description.wosid | WOS:000296681100012 | |