Mansfield, Elizabeth L.,
Clarkson, Peter
(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.
(doi:10.1006/jsco.1996.0105)
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
(KAR id:18172)

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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 |
---|---|

DOI/Identification number: | 10.1006/jsco.1996.0105 |

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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | Elizabeth Mansfield |

Date Deposited: | 19 Apr 2009 22:01 UTC |

Last Modified: | 16 Feb 2021 12:29 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/18172 (The current URI for this page, for reference purposes) |

Mansfield, Elizabeth L.: | https://orcid.org/0000-0002-6778-2241 |

Clarkson, Peter: | https://orcid.org/0000-0002-8777-5284 |

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