Equivalence of Q-Conditional Symmetries under Group of Local Transformation

Details Equivalence of Q-Conditional Symmetries under Group of Local Transformation Equivalence of Q-Conditional Symmetries under Group of Local Transformation

2002-08-02

arxiv.org/abs/math-ph/0208005v1

Proccedings of the Third Inter. Conf. "Symmetry in Nonlinear Mathematical Physics", Kyiv, Institute of Mathematics, 2000, Part

Physics

Mathematical Physics

LaTeX2e, 7 pages

Scientific paper

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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