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ON PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH SYMMETRIES DEPENDING ON ARBITRARY FUNCTIONS



dc.contributor.authorGubbiotti , Giorgio
dc.contributor.authorLevi , Decio
dc.contributor.authorScimiterna , Christian
dc.date.accessioned2017-02-09T11:33:28Z
dc.date.available2017-02-09T11:33:28Z
dc.date.issued2016
dc.identifier.citationActa Polytechnica. 2016, vol. 56, no. 3, p. 193-201.
dc.identifier.issn1210-2709 (print)
dc.identifier.issn1805-2363 (online)
dc.identifier.urihttp://hdl.handle.net/10467/67258
dc.description.abstractIn this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show a few examples, both in partial differential and partial difference equations where this happens. Moreover we show that the infinitesimal generators of generalized symmetries depending on arbitrary functions, both for continuous and discrete equations, effectively play the role of master symmetries.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherČeské vysoké učení technické v Prazecs
dc.publisherCzech Technical University in Pragueen
dc.relation.ispartofseriesActa Polytechnica
dc.relation.urihttps://ojs.cvut.cz/ojs/index.php/ap/article/view/3411
dc.rightsCreative Commons Attribution 4.0 International Licenseen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectLie point symmetries, generalized symmetries, partial differential equations, partial difference equations, Darboux integrable systems, linearizable nonlinear equationsen
dc.titleON PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH SYMMETRIES DEPENDING ON ARBITRARY FUNCTIONS
dc.typearticleen
dc.date.updated2017-02-09T11:33:28Z
dc.identifier.doi10.14311/AP.2016.56.0193
dc.rights.accessopenAccess
dc.type.statusPeer-reviewed
dc.type.versionpublishedVersion


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