New Wave Solutions of Time-Fractional Coupled Boussinesq-Whitham-Broer-Kaup Equation as A Model of Water Waves

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dc.authoridATILGAN, Emrah/0000-0002-0395-9976
dc.authoridSenol, Mehmet/0000-0001-8110-7739
dc.contributor.authorAtilgan, Emrah
dc.contributor.authorSenol, Mehmet
dc.contributor.authorKurt, Ali
dc.contributor.authorTasbozan, Orkun
dc.date.accessioned2024-09-18T20:59:28Z
dc.date.available2024-09-18T20:59:28Z
dc.date.issued2019
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractThe main purpose of this paper is to obtain the wave solutions of conformable time fractional Boussinesq-Whitham-Broer-Kaup equation arising as a model of shallow water waves. For this aim, the authors employed auxiliary equation method which is based on a nonlinear ordinary differential equation. By using conformable wave transform and chain rule, a nonlinear fractional partial differential equation is converted to a nonlinear ordinary differential equation. This is a significant impact because neither Caputo definition nor Riemann-Liouville definition satisfies the chain rule. While the exact solutions of the fractional partial derivatives cannot be obtained due to the existing drawbacks of Caputo or Riemann-Liouville definitions, the reliable solutions can be achieved for the equations defined by conformable fractional derivatives.en_US
dc.identifier.doi10.1007/s13344-019-0045-1
dc.identifier.endpage483en_US
dc.identifier.issn0890-5487
dc.identifier.issn2191-8945
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85068779403en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage477en_US
dc.identifier.urihttps://doi.org/10.1007/s13344-019-0045-1
dc.identifier.urihttps://hdl.handle.net/20.500.12483/12585
dc.identifier.volume33en_US
dc.identifier.wosWOS:000475692400009en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherChina Ocean Pressen_US
dc.relation.ispartofChina Ocean Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjecttime fractional coupled Boussinesq-Whitham-Broer-Kaup equationen_US
dc.subjectconformable fractional derivativeen_US
dc.subjectauxiliary equation methoden_US
dc.titleNew Wave Solutions of Time-Fractional Coupled Boussinesq-Whitham-Broer-Kaup Equation as A Model of Water Wavesen_US
dc.typeArticleen_US

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