Mehdi NADJAFIKHAH, Rohollah BAKHSHANDEH CHAMAZKOTI

Cartan equivalence problem for third-order differential operators

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.

Anahtar Kelimeler:

Differential operator, Cartan equivalence, gauge equivalence, invariant, pseudogroup, Lie algebra

Cartan equivalence problem for third-order differential operators

Keywords:

Differential operator, Cartan equivalence, gauge equivalence, invariant, pseudogroup, Lie algebra,

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