A discussion is presented, within a simple unifying scheme, about different types of symmetry of PDE's, with the introduction and a precise characterization of the notions of ``standard'' and ``weak'' conditional symmetries, together with their relationship with exact and partial symmetries. An extensive use of ``symmetry-adapted'' variables will be made, and some clarifying examples are provided.
A discussion on the different notions of symmetry of differential equations
CICOGNA, GIAMPAOLO
2004-01-01
Abstract
A discussion is presented, within a simple unifying scheme, about different types of symmetry of PDE's, with the introduction and a precise characterization of the notions of ``standard'' and ``weak'' conditional symmetries, together with their relationship with exact and partial symmetries. An extensive use of ``symmetry-adapted'' variables will be made, and some clarifying examples are provided.File in questo prodotto:
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