Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations

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dc.authoridhttps://orcid.org/0000-0003-4996-8373en_US
dc.authoridhttps://orcid.org/0000-0001-8974-3895en_US
dc.authoridhttps://orcid.org/0000-0002-1165-8815en_US
dc.authoridhttps://orcid.org/0000-0002-2994-7201en_US
dc.contributor.authorHosseini, Kamyar
dc.contributor.authorİnç, Mustafa
dc.contributor.authorShafiee, Mahmoud
dc.contributor.authorIlie, Mousa
dc.contributor.authorShafaroody, A.
dc.contributor.authorYusuf, Abdelrhman
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2023-08-20T05:54:08Z
dc.date.available2023-08-20T05:54:08Z
dc.date.issued2020en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractThe key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific nonlinear waves are converted to a number of systems of ordinary differential equations (ODEs) such that the resulting systems can be efficiently handled by computer algebra systems. As an accomplishment, the performance of the well-designed ISS in extracting a group of exact solutions is formally confirmed. In the end, the stability analysis for the NLWWE is investigated through the linear stability scheme.en_US
dc.identifier.doi10.1016/j.joes.2019.07.004en_US
dc.identifier.endpage40en_US
dc.identifier.issn2468-0133
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85084452076en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage35en_US
dc.identifier.urihttps://hdl.handle.net/11363/5386
dc.identifier.urihttps://doi.org/
dc.identifier.volume5en_US
dc.identifier.wosWOS:000525757400003en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBayram, Mustafa
dc.language.isoenen_US
dc.publisherELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDSen_US
dc.relation.ispartofJournal of Ocean Engineering and Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectNonlinear water wave equationsen_US
dc.subjectInvariant subspace schemeen_US
dc.subjectExact solutionsen_US
dc.subjectStability analysisen_US
dc.titleInvariant subspaces, exact solutions and stability analysis of nonlinear water wave equationsen_US
dc.typeArticleen_US

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