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Janet bases for symmetry groups. (English) Zbl 1024.34027

Buchberger, Bruno (ed.) et al., Gröbner bases and applications. Based on a course for young researchers, January 1998, and the conference “33 years of Gröbner bases”, Linz, Austria, February 2-4, 1998. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 251, 221-234 (1998).
Here, the author applies Janet bases theory to the study of the type of symmetry group of a second-order ordinary differential equation. The computations performed in the article have been made with the help of the software package SPDE.
For the entire collection see [Zbl 0883.00014].

MSC:

34C14 Symmetries, invariants of ordinary differential equations
37C80 Symmetries, equivariant dynamical systems (MSC2010)
68W30 Symbolic computation and algebraic computation
34-04 Software, source code, etc. for problems pertaining to ordinary differential equations

Software:

SPDE
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