Algebraic method for finding equivalence groups
Mathematical Physics
2015-06-16 v2 Analysis of PDEs
math.MP
Abstract
The algebraic method for computing the complete point symmetry group of a system of differential equations is extended to finding the complete equivalence group of a class of such systems. The extended method uses the knowledge of the corresponding equivalence algebra. Two versions of the method are presented, where the first involves the automorphism group of this algebra and the second is based on a list of its megaideals. We illustrate the megaideal-based version of the method with the computation of the complete equivalence group of a class of nonlinear wave equations with applications in nonlinear elasticity.
Cite
@article{arxiv.1503.06487,
title = {Algebraic method for finding equivalence groups},
author = {Alexander Bihlo and Elsa Dos Santos Cardoso-Bihlo and Roman O. Popovych},
journal= {arXiv preprint arXiv:1503.06487},
year = {2015}
}
Comments
17 pages; revised version; includes results that have been excluded from the journal version of the preprint arXiv:1106.4801v1