Applications of the differential algebra package diffgrob2 to classical symmetries of differential equations

Mansfield, E.L. and Clarkson, P.A. (1997) Applications of the differential algebra package diffgrob2 to classical symmetries of differential equations. Journal of Symbolic Computation, 23 (5-6). pp. 517-533. ISSN 0747-7171. (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1006/jsco.1996.0105

Abstract

We show how the MAPLE package diffgrob2 can be used to analyse overdetermined systems of PDE. The particular application discussed here is to find classical symmetries of differential equations of mathematical and physical interest. Symmetries of differential equations underly most of the methods of exact integration known; the use and calculation of such symmetries is often introduced at advanced undergraduate level. Examples include cases where heuristics give incomplete information or fail in the integration of the determining equations for the group infinitesimals. The ideas presented here are thus an alternative method of attacking this important problem. The discussion is at a ''hands on'' level suitable as resource material for undergraduate instruction.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 75 Electronic computers. Computer science
Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: M.A. Ziai
Date Deposited: 19 Apr 2009 22:01
Last Modified: 19 Apr 2009 22:01
Resource URI: http://kar.kent.ac.uk/id/eprint/18172 (The current URI for this page, for reference purposes)
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