The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy)

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dc.contributor.authorKuznetsova, M.N.
dc.contributor.authorPekcan, A.
dc.contributor.authorZhiber, A.V.
dc.date.accessioned2019-02-18T17:48:22Z
dc.date.available2019-02-18T17:48:22Z
dc.date.issued2012
dc.description.abstractWe present the complete classification of equations of the form uxy=f(u,ux,uy) and the Klein-Gordon equations vxy=F(v) connected with one another by differential substitutions v=φ(u,ux,uy) such that φuxφuy≠0 over the ring of complex-valued variables.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html. This work is partially supported by the Russian Foundation for Basic Research (RFBR) (Grants 11-01-97005-Povolj’ie-a, 12-01-31208 mol-a).uk_UA
dc.identifier.citationThe Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) / M.N. Kuznetsova, A. Pekcan, A.V. Zhiber // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 20 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 35L70
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2012.090
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148676
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy)uk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік