Equivalence of Q-Conditional Symmetries under Group of Local Transformation

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dc.creatorPopovych, Roman O.
dc.date2002-08-02
dc.date.accessioned2026-07-07T04:29:20Z
dc.date.available2026-07-07T04:29:20Z
dc.descriptionThe definition of Q-conditional symmetry for one PDE is correctly generalized to a special case of systems of PDEs and involutive families of operators. The notion of equivalence of Q-conditional symmetries under a group of local transformation is introduced. Using this notion, all possible single Q-conditional symmetry operators are classified for the n-dimensional (n >= 2) linear heat equation and for the Euler equations describing the motion of an incompressible ideal fluid.
dc.descriptionLaTeX2e, 7 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0208005
dc.identifierhttp://arxiv.org/abs/math-ph/0208005
dc.identifierProccedings of the Third Inter. Conf. "Symmetry in Nonlinear Mathematical Physics", Kyiv, Institute of Mathematics, 2000, Part 1, 184-189
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57118
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.subjectFluid Dynamics
dc.subject35A30; 58J70; 35K05; 35Q30; 35Q35; 76D05; 76M60
dc.titleEquivalence of Q-Conditional Symmetries under Group of Local Transformation
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