dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:01:36Z | |
dc.date.available | 2015-01-15T23:01:36Z | |
dc.date.issued | 2010-01 | |
dc.identifier.citation | Demiray, H. (2010). Higher order perturbation expansion of waves in water of variable depth. Computers and Mathematics with Applications, 59(1), 298-304. doi:10.1016/j.camwa.2009.06.049 | en_US |
dc.identifier.issn | 0898-1221 | |
dc.identifier.issn | 1873-7668 | |
dc.identifier.uri | https://hdl.handle.net/11729/383 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.camwa.2009.06.049 | |
dc.description.abstract | In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling wave solution to these evolution equations we determine the scale function c(1)(tau) so as to remove the possible secularities that might occur. We showed that for waves in water of variable depth, the phase function is not linear anymore in the variables x and t. It is further shown that, due to the variable depth of the water, the speed of the propagation is also variable in the x coordinate | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier Ltd | en_US |
dc.relation.isversionof | 10.1016/j.camwa.2009.06.049 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Modified reductive perturbation method | en_US |
dc.subject | Waves in water of variable depth | en_US |
dc.subject | Korteweg-de Vries hierarchy | en_US |
dc.subject | Ion-acoustic-waves | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Terms | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Solitons | en_US |
dc.subject | Water waves | en_US |
dc.subject | Evolution equations | en_US |
dc.subject | Governing equations | en_US |
dc.subject | Higher-order perturbation | en_US |
dc.subject | KdV equations | en_US |
dc.subject | Korteweg-de Vries | en_US |
dc.subject | Long waves | en_US |
dc.subject | Phase functions | en_US |
dc.subject | Reductive perturbation methods | en_US |
dc.subject | Travelling wave solution | en_US |
dc.subject | Variable depth | en_US |
dc.subject | Differential equations | en_US |
dc.subject | Wave equations | en_US |
dc.subject | Perturbation techniques | en_US |
dc.title | Higher order perturbation expansion of waves in water of variable depth | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Computers and Mathematics with Applications | 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 | 59 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 298 | |
dc.identifier.endpage | 304 | |
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:000274004500031 | |