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How to Find Discrete Contact Symmetries

Hydon, Peter E. (1998) How to Find Discrete Contact Symmetries Journal of Nonlinear Mathematical Physics, 5. pp. 405-416.

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Abstract

This paper describes a new algorithm for determining all discrete contact symmetries of any differential equation whose Lie contact symmetries are known. The method is constructive and is easy to use. It is based upon the observation that the adjoint action of any contact symmetry is an automorphism of the Lie algebra of generators of Lie contact symmetries. Consequently, all contact symmetries satisfy various compatibility conditions. These conditions enable the discrete symmetries to be found systematically, with little effort.

Item Type: Article
Additional Information: First published in Journal of Nonlinear Mathematical Physics, 5, 405-416. © 1998 P. E. Hydon.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1502

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