On dummy variables of structure-preserving transformations

Details On dummy variables of structure-preserving transformations On dummy variables of structure-preserving transformations

2011-10-27

arxiv.org/abs/1110.6023v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

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.

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