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Equivalence of Q-Conditional Symmetries under Group of Local Transformation

Roman O. Popovych
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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.

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Roman O. Popovych. 2002-08-02. Equivalence of Q-Conditional Symmetries under Group of Local Transformation. https://arxiv.org/abs/math-ph/0208005

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