On natural invariants and equivalence of differential operators

We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of order \(k\ge 2\) on a smooth manifold of dimension \(n\ge 2\) and show their application to the equivalence problem of such operators.

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Bibliographic Details
Published in:arXiv.org 2022-12
Main Authors: Lychagin, Valentin, Yumaguzhin, Valeriy
Format: Article
Language:English
Subjects:
Differential equations
Equivalence
Invariants
Operators (mathematics)
Online Access:Get full text
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Description
Summary:We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of order \(k\ge 2\) on a smooth manifold of dimension \(n\ge 2\) and show their application to the equivalence problem of such operators.
ISSN:2331-8422
DOI:10.48550/arxiv.2212.12684