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Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method

dc.contributor.authorKruglikov, Boris
dc.date.accessioned2009-09-24T13:03:34Z
dc.date.available2009-09-24T13:03:34Z
dc.date.issued2007-12-20
dc.description.abstractMany methods for reducing and simplifying differential equations are known. They provide various generalizations of the original symmetry approach of Sophus Lie. Plenty of relations between them have been noticed and in this note a unifying approach will be discussed. It is rather close to the differential constraint method, but we make this rigorous basing on recent advances in compatibility theory of non-linear overdetermined systems and homological methods for PDEs.en
dc.descriptionDette er forfatternes aksepterte versjon. This is the author’s final accepted manuscript.en
dc.format.extent287533 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationActa Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications, Volume 101, Numbers 1-3 / April, 2008. DOI: 10.1007/s10440-008-9197-3en
dc.identifier.urihttps://hdl.handle.net/10037/2131
dc.identifier.urnURN:NBN:no-uit_munin_1882
dc.language.isoengen
dc.publisherSpringer Netherlandsen
dc.rights.accessRightsopenAccess
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415en
dc.subjectCompatibilityen
dc.subjectdifferential constrainten
dc.subjectsymmetryen
dc.subjectreductionen
dc.subjectmulti-bracketen
dc.subjectsolvabilityen
dc.titleSymmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit methoden
dc.typeJournal articleen
dc.typeTidsskriftartikkelen
dc.typePeer revieweden


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