Coverings and multivector pseudosymmetries of differential equations

DOI10.1016/j.difgeo.2020.101705zbMath1458.35015OpenAlexW3107776716WikidataQ115354666 ScholiaQ115354666MaRDI QIDQ1995664

Vladimir N. Chetverikov

Publication date: 24 February 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2020.101705

zbMATH Keywords

infinite jetsSchouten bracketmultivector fieldscoverings of differential equations

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

Coverings and pseudosymmetries of differential equations

Cites Work

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• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
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• Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
• Pseudosymmetries and differential substitutions
• Geometry of nonlinear differential equations
• Some local properties of Bäcklund transformations
• On the structure of integrable \({\mathcal C}\)-fields
• Coverings and integrable pseudosymmetries of differential equations
• Prolongation structures of nonlinear evolution equations

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