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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/84841
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