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Isogroups of differential equations using algebraic computing

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journal contribution
posted on 1992-07-01, 00:00 authored by John Carminati, J S Devitt, G J Fee
We describe the Liesymm package, implemented in the symbolic computing system MAPLE, for obtaining the determining equations of the isogroup of a system of partial differential equations. Liesymm fully automates the Harrison-Estabrook procedure which uses Cartan's formulation in terms of differential forms. It also includes a number of routines which assist the user in integrating the determining equations. Liesymm has been implemented in such a way as to provide the user with a number of useful interactive tools for working with differential forms. In addition, it can also generate a "suitable" initial set of differential forms directly from the given partial differential equations and as such can be used at a level that obviates any need for familiarity with forms.

History

Journal

Journal of symbolic computation

Volume

14

Issue

1

Pagination

103 - 120

Publisher

Elsevier

Location

Amsterdam, The Netherlands

ISSN

0747-7171

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

1992, Academic Press Limited

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