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AuthorEngelmann, Joachimdc.contributor.author
Date of accession2016-03-14T11:54:20Zdc.date.accessioned
Available in OPARU since2016-03-14T11:54:20Zdc.date.available
Year of creation2002dc.date.created
AbstractThis work introduces the so-called involutive reduction procedure to simplify and solve differential equations. The method is based on symmetry analysis, which was developed by the Norwegian mathematician Sophus Lie. The involutive reduction procedure uses the given differential equation itself and the invariant surface condition of this differential equation. The invariant surface condition incorporates the symmetries of the problem. This coupled system of partial differential equations, which is in general nonlinear, is solved by an involutive reduction procedure. This procedure couples for the first time an involutive simplification algorithm with a heuristic solution algorithm. The combination of these two procedures helps to find new solutions of nonlinear differential equations, as is shown in various examples.dc.description.abstract
Languageendc.language.iso
PublisherUniversität Ulmdc.publisher
LicenseStandard (Fassung vom 03.05.2003)dc.rights
Link to license texthttps://oparu.uni-ulm.de/xmlui/license_v1dc.rights.uri
KeywordLie symmetriesdc.subject
KeywordSolutions of differential equationsdc.subject
KeywordSystems of differential equationsdc.subject
LCSHDifferential equationsdc.subject.lcsh
TitleInvolutive reductions and solutions of differential equationsdc.title
Resource typeDissertationdc.type
DOIhttp://dx.doi.org/10.18725/OPARU-84dc.identifier.doi
URNhttp://nbn-resolving.de/urn:nbn:de:bsz:289-vts-27262dc.identifier.urn
GNDLie-Punkt-Symmetriedc.subject.gnd
FacultyFakultät für Naturwissenschaftenuulm.affiliationGeneral
Date of activation2003-03-07T23:22:32Zuulm.freischaltungVTS
Peer reviewneinuulm.peerReview
Shelfmark print versionZ: J-H 8.090 ; W: W-H 7.581uulm.shelfmark
DCMI TypeTextuulm.typeDCMI
VTS ID2726uulm.vtsID
CategoryPublikationenuulm.category
Bibliographyuulmuulm.bibliographie


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