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

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dc.creatorKruglikov, Boris
dc.date2007-12-20
dc.date.accessioned2026-07-07T08:50:37Z
dc.date.available2026-07-07T08:50:37Z
dc.descriptionMany 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 classical differential constraint method, but we provide certain rigorous results basing on recent advances in compatibility theory of non-linear overdetermined systems and homological methods for PDEs.
dc.identifierhttps://arxiv.org/abs/0712.3425
dc.identifierhttp://arxiv.org/abs/0712.3425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144659
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject34A05, 35N10; 58A20, 35A30
dc.titleSymmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method
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