On the notion of conditional symmetry of differential equations

Details On the notion of conditional symmetry of differential equations On the notion of conditional symmetry of differential equations

2006-03-08

arxiv.org/abs/math-ph/0603021v2

Rev. Math. Phys. 18, No. 1, 1-18 (2006)

Physics

Mathematical Physics

18 pages

Scientific paper

10.1142/S0129055X06002553

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.

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