Equivalence of Q-Conditional Symmetries under Group of Local Transformation

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.

arXiv commentLaTeX2e, 7 pages

References in corpus (2)

• A precise definition of reduction of partial differential equations
• Symmetry reduction and exact solutions of the Navier-Stokes equations

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