On head-on collision between two solitary waves in shallow water: the use of the extended PLK method

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dc.authorid0000-0002-3714-6092
dc.authorid0000-0001-8590-3396
dc.contributor.authorÖzden, Ali Erinçen_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-11-05T08:54:13Z
dc.date.available2015-11-05T08:54:13Z
dc.date.issued2015-10
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, we examined the head-on collision of solitary waves in shallow water theory, through the use of extended Poincare–Lighthill–Kuo (PLK) method based on the combination of reductive perturbation method with strained coordinates. Motivated with the result obtained by Ozden and Demiray (Int J Nonlinear Mech 69:66–70, 2015), we introduced a set of stretched coordinates that include some unknown functions which are to be determined so as to remove secularities that might occur in the solution. By expanding these unknown functions and the field variables into power series in the smallness parameter ?, introducing them into the field equations and imposing the conditions to remove the secularities, we obtained some evolution equations. By seeking a progressive wave solution to these evolution equations, we determined the speed correction terms and the phase-shift functions. The result obtained here is exactly the same with found by Ozden and Demiray (Int J Nonlinear Mech 69:66–70, 2015), wherein the analysis employed by Su and Mirie (J Fluid Mech 98:509–525, 1980) is utilized.en_US
dc.description.versionPublisher's Versionen_US
dc.description.versionAuthor Post Printen_US
dc.identifier.citationÖzden, A. E. & Demiray, H. (2015). On head-on collision between two solitary waves in shallow water: The use of the extended PLK method. Nonlinear Dynamics, 82(1-2), 73-84. doi:10.1007/s11071-015-2139-5en_US
dc.identifier.doi10.1007/s11071-015-2139-5
dc.identifier.endpage84
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.issue1-2
dc.identifier.scopus2-s2.0-84943365142
dc.identifier.scopusqualityQ1
dc.identifier.startpage73
dc.identifier.urihttps://hdl.handle.net/11729/695
dc.identifier.urihttp://dx.doi.org/10.1007/s11071-015-2139-5
dc.identifier.volume82
dc.identifier.wosWOS:000362578100007
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorÖzden, Ali Erinçen_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0002-3714-6092
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringeren_US
dc.relation.ispartofNonlinear Dynamicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHead-on collisionen_US
dc.subjectExtended PLK methoden_US
dc.subjectPhase shiftsen_US
dc.subjectBackgroundsen_US
dc.subjectSolitonsen_US
dc.subjectEquationen_US
dc.subjectSystemen_US
dc.subjectFluiden_US
dc.titleOn head-on collision between two solitary waves in shallow water: the use of the extended PLK methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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