A Jacobi elliptic function method for nonlinear arrays of vortices

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dc.contributor.authorBhrawy, A. H.
dc.contributor.authorTharwat, M. M.
dc.contributor.authorYildirim, A.
dc.contributor.authorAbdelkawy, M. A.
dc.date.accessioned2019-10-27T21:40:45Z
dc.date.available2019-10-27T21:40:45Z
dc.date.issued2012
dc.departmentEge Üniversitesien_US
dc.description.abstractArrays of vortices are considered for two-dimensional inviscid flows when the functional relationship between the stream function and the vorticity is hyperbolic sine, exponential, sine, and power functions. The Jacobi elliptic function method with symbolic computation is extended to these nonlinear equations for constructing their doubly periodic wave solutions. The different Jacobi function expansions may lead to new Jacobi doubly periodic wave solutions, triangular periodic solutions and soliton solutions. In addition, as an illustrative sample, the properties for the Jacobi doubly periodic wave solutions of the nonlinear equations are shown with some figures.en_US
dc.identifier.doi10.1007/s12648-012-0173-4
dc.identifier.endpage1113en_US
dc.identifier.issn0973-1458
dc.identifier.issn0974-9845
dc.identifier.issn0973-1458en_US
dc.identifier.issn0974-9845en_US
dc.identifier.issue12en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1107en_US
dc.identifier.urihttps://doi.org/10.1007/s12648-012-0173-4
dc.identifier.urihttps://hdl.handle.net/11454/46332
dc.identifier.volume86en_US
dc.identifier.wosWOS:000311514300009en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIndian Assoc Cultivation Scienceen_US
dc.relation.ispartofIndian Journal of Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear arrays of vorticesen_US
dc.subjectJacobi elliptic function methoden_US
dc.subjectJacobi doubly periodic wave solutionen_US
dc.subjectSinh-Poisson equationen_US
dc.subjectLiouville equationen_US
dc.subjectSine-Poisson equationen_US
dc.titleA Jacobi elliptic function method for nonlinear arrays of vorticesen_US
dc.typeArticleen_US

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