×

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.

MSC:

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

References:

[1] DOI: 10.1007/BF01097533 · Zbl 0760.35002 · doi:10.1007/BF01097533
[2] DOI: 10.1063/1.529042 · Zbl 0737.35099 · doi:10.1063/1.529042
[3] DOI: 10.1119/1.11973 · doi:10.1119/1.11973
[4] DOI: 10.1016/0167-2789(87)90119-9 · Zbl 0631.76070 · doi:10.1016/0167-2789(87)90119-9
[5] DOI: 10.1063/1.866245 · Zbl 0622.76071 · doi:10.1063/1.866245
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.