On the notion of conditional symmetry of differential equations
Mathematical Physics
2009-11-11 v2 math.MP
Abstract
Symmetry properties of PDE's are considered within a systematic and unifying scheme: particular attention is devoted to the notion of conditional symmetry, leading to the distinction and a precise characterization of the notions of ``true'' and ``weak'' conditional symmetry. Their relationship with exact and partial symmetries is also discussed. An extensive use of ``symmetry-adapted'' variables is made; several clarifying examples, including the case of Boussinesq equation, are also provided.
Keywords
Cite
@article{arxiv.math-ph/0603021,
title = {On the notion of conditional symmetry of differential equations},
author = {G. Cicogna and M. Laino},
journal= {arXiv preprint arXiv:math-ph/0603021},
year = {2009}
}
Comments
18 pages