Abstract
We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of the third order on a two dimensional manifold and show their application to the equivalence problem of such operators.
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The article is dedicated to the 70th anniversary of Peter Olver.
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(Submitted by I. S. Krasil’shchik)
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Lychagin, V.V., Yumaguzhin, V.A. Natural Differential Invariants and Equivalence of Third Order Nonlinear Differential Operators. Lobachevskii J Math 44, 1416–1425 (2023). https://doi.org/10.1134/S1995080223040194
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DOI: https://doi.org/10.1134/S1995080223040194