English

On dummy variables of structure-preserving transformations

Analysis of PDEs 2011-10-28 v1 Group Theory

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.

Keywords

Cite

@article{arxiv.1110.6023,
  title  = {On dummy variables of structure-preserving transformations},
  author = {J. C. Ndogmo},
  journal= {arXiv preprint arXiv:1110.6023},
  year   = {2011}
}

Comments

12 pages

R2 v1 2026-06-21T19:26:45.800Z