Equivalence of Q-Conditional Symmetries under Group of Local Transformation

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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.
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Mathematical Physics, Analysis of PDEs, Exactly Solvable and Integrable Systems, Fluid Dynamics, 35A30; 58J70; 35K05; 35Q30; 35Q35; 76D05; 76M60

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http://salesiana.dossiersoluciones.com/handle/123456789/57118

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0208005
 http://arxiv.org/abs/math-ph/0208005
 Proccedings of the Third Inter. Conf. "Symmetry in Nonlinear Mathematical Physics", Kyiv, Institute of Mathematics, 2000, Part 1, 184-189

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arXiv