On dummy variables of structure-preserving transformations

Abstract

A method is given for obtaining equivalence subgroups of a family of differential equations from the equivalence group of simpler equations of a similar form, but in which the arbitrary functions specifying the family element depend on fewer variables. Examples of applications to classical equations are presented, some of which show how the method can actually be used for a much easier determination of the equivalence group itself.

12 pages

References in corpus (1)

• Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches