Differential Invariants and Hidden Symmetry

Details Differential Invariants and Hidden Symmetry Differential Invariants and Hidden Symmetry

2010-10-26

arxiv.org/abs/1010.5313v2

Physics

Mathematical Physics

13 pages

Scientific paper

We describe some classes of PDE that display hidden symmetry, with reduced equations having additional symmetry operators compared to the initial equations. Relations between the concepts of hidden and conditional symmetry, and between hidden symmetry and equivalence of classes of equations, is discussed. In particular, we describe equations having hidden and conditional symmetry under rotations and boosts in the Lorentz and Euclid groups.

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