A Discussion on the Different Notions of Symmetry of Differential Equations

Details A Discussion on the Different Notions of Symmetry of Differential Equations A Discussion on the Different Notions of Symmetry of Differential Equations

2010-12-09

arxiv.org/abs/1012.1935v1

Proc. Inst. Math. N.A.S. Ukr., vol. 50, 77-84 (2004)

Physics

Mathematical Physics

11 pages, no figures

Scientific paper

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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