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Group analysis of a class of nonlinear Kolmogorov equations

dc.contributor.authorVaneeva, Olena O.en
dc.contributor.authorKaradzhov, Y.en
dc.contributor.authorSophocleous, Christodoulosen
dc.contributor.editorDobrev V.en
dc.creatorVaneeva, Olena O.en
dc.creatorKaradzhov, Y.en
dc.creatorSophocleous, Christodoulosen
dc.date.accessioned2019-12-02T10:38:41Z
dc.date.available2019-12-02T10:38:41Z
dc.date.issued2016
dc.identifier.isbn978-981-10-2635-5
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57734
dc.description.abstractA class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The complete group classification is achieved using a gauging of arbitrary elements (i.e., via reducing the number of variable coefficients) with the application of equivalence transformations. Two possible gaugings are discussed in order to show how equivalence group can serve in making the optimal choice. © Springer Nature Singapore Pte Ltd. 2016.en
dc.publisherSpringer New York LLCen
dc.sourceSpringer Proceedings in Mathematics and Statisticsen
dc.sourceProceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015en
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85009775157&doi=10.1007%2f978-981-10-2636-2_23&partnerID=40&md5=28ea5e82a7173c1d9215deada71a54a1
dc.subjectNonlinear equationsen
dc.subjectVariable coefficientsen
dc.subjectEquivalence transformationsen
dc.subjectLie symmetriesen
dc.subjectDiffusion-convection equationsen
dc.subjectGroup classificationen
dc.subjectGroup analysisen
dc.subjectKolmogorov equationsen
dc.subjectnocv2en
dc.subjectTime-dependent coefficientsen
dc.titleGroup analysis of a class of nonlinear Kolmogorov equationsen
dc.typeinfo:eu-repo/semantics/conferenceObject
dc.identifier.doi10.1007/978-981-10-2636-2_23
dc.description.volume191
dc.description.startingpage349
dc.description.endingpage360
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeConference Objecten
dc.description.notes<p>Sponsors:en
dc.description.notesConference code: 187889</p>en
dc.contributor.orcidSophocleous, Christodoulos [0000-0001-8021-3548]
dc.gnosis.orcid0000-0001-8021-3548


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