Physics – Mathematical Physics
Scientific paper
2006-03-08
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.
Cicogna Giampaolo
Laino M.
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