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Equivalence of Q-Conditional Symmetries under Group of Local Transformation | | Roman O. Popovych
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2 Aug 2002 | | Journal: | Proccedings of the Third Inter. Conf. "Symmetry in Nonlinear Mathematical Physics", Kyiv, Institute of Mathematics, 2000, Part 1, 184-189 | | Subject: | Mathematical Physics; Analysis of PDEs; Fluid Dynamics; Exactly Solvable and Integrable Systems MSC-class: 35A30; 58J70; 35K05; 35Q30; 35Q35; 76D05; 76M60 | math-ph math.AP math.MP nlin.SI physics.flu-dyn | | Abstract: | The 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. | | Source: | arXiv, math-ph/0208005 | | Services: | Forum | Review | PDF | Favorites | |
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