Journal article
Isogroups of differential equations using algebraic computing
Journal of Symbolic Computation, Vol.14(1), pp.103-120
1992
Abstract
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.
Details
- Title
- Isogroups of differential equations using algebraic computing
- Authors/Creators
- J. Carminati (Author/Creator)J.S. Devitt (Author/Creator)G.J. Fee (Author/Creator)
- Publication Details
- Journal of Symbolic Computation, Vol.14(1), pp.103-120
- Publisher
- Elsevier Ltd.
- Identifiers
- 991005543519907891
- Copyright
- © 1992 Published by Elsevier Ltd.
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- Domestic collaboration
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- Citation topics
- 5 Physics
- 5.230 Solitons
- 5.230.124 Soliton Dynamics
- Web Of Science research areas
- Computer Science, Theory & Methods
- Mathematics, Applied
- ESI research areas
- Engineering