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On the systematic approach to the classification of differential equations by group theoretical methods

✍ Scribed by K. Andriopoulos; S. Dimas; P.G.L. Leach; D. Tsoubelis

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
502 KB
Volume
230
Category
Article
ISSN
0377-0427

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✦ Synopsis

Complete symmetry groups enable one to characterise fully a given differential equation. By considering the reversal of an approach based upon complete symmetry groups we construct new classes of differential equations which have the equations of Bateman, Monge-Ampère and Born-Infeld as special cases. We develop a symbolic algorithm to decrease the complexity of the calculations involved.

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