Equivalence of Q-Conditional Symmetries under Group of Local Transformation
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.math-ph/0208005,
title = {Equivalence of Q-Conditional Symmetries under Group of Local Transformation},
author = {Roman O. Popovych},
journal= {arXiv preprint arXiv:math-ph/0208005},
year = {2007}
}
Comments
LaTeX2e, 7 pages