A simple method for group analysis and its application to a model of detonation. (English) Zbl 0761.35104

Summary: A simple procedure is suggested to obtain extensions of the principal Lie algebra, for invariance transformations of a given family of equations, by using an equivalence algebra. An application to a qualitative model of detonation is performed.


35Q58 Other completely integrable PDE (MSC2000)
37C80 Symmetries, equivariant dynamical systems (MSC2010)
76V05 Reaction effects in flows
Full Text: DOI


[1] DOI: 10.1007/BF01097533 · Zbl 0760.35002
[2] DOI: 10.1063/1.529042 · Zbl 0737.35099
[3] DOI: 10.1119/1.11973
[4] DOI: 10.1016/0167-2789(87)90119-9 · Zbl 0631.76070
[5] DOI: 10.1063/1.866245 · Zbl 0622.76071
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