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

• Autores: K. Andriopoulos, S. Dimas, P. G. L. Leach, D. Tsoubelis
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 1, 2009, págs. 224-232
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.11.002
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• Resumen

  • 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.