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Zbl 0555.65076
Schwarz, F.
Automatically determining symmetries of partial differential equations. (English)
[J] Computing 34, 91-106 (1985). ISSN 0010-485X; ISSN 1436-5057/e

A REDUCE package for determining the group of Lie symmetries of an arbitrary system of partial differential equations is described. It may be used both interactively and in a batch mode. In many cases the system finds the full group completely automatically. In some other cases there are a few linear differential equations of the determining system left the solution of which cannot be found automatically at present. If it is provided by the user, the infinitesimal generators of the symmetry group are returned.

MSC 2000:: *65Z05 Applications to physics
65Yxx Computer aspects of numerical algorithms
35-04 Machine computation, programs (partial differential equations)
35C05 Solutions of PDE in closed form
22E99 Lie groups

Keywords: symmetry groups; automatic detection of symmetries; group of Lie symmetries; infinitesimal generators of the symmetry group

Cited in: Zbl 0595.65127

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