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

K. Andriopoulos, S. Dimas, P. G. L. Leach, D. Tsoubelis

• 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.