Turkish Journal of Mathematics
Abstract
This article is dedicated to solving the equivalence problem for a pair of third-order differential operators on the line under general fiber-preserving transformation using the Cartan method of equivalence. We will treat 2 versions of equivalence problems: first, the direct equivalence problem, and second, an equivalence problem to determine conditions on 2 differential operators such that there exists a fiber-preserving transformation mapping one to the other according to gauge equivalence.
DOI
10.3906/mat-1205-31
Keywords
Differential operator, Cartan equivalence, gauge equivalence, invariant, pseudogroup, Lie algebra
First Page
949
Last Page
958
Recommended Citation
NADJAFIKHAH, M, & CHAMAZKOTI, R. B (2013). Cartan equivalence problem for third-order differential operators. Turkish Journal of Mathematics 37 (6): 949-958. https://doi.org/10.3906/mat-1205-31
