Extendable symplectic structures and the inverse problem of the calculus of variations for systems of equations written in generalized Kovalevskaya form

DOI10.1016/j.geomphys.2020.104013zbMath1462.35006OpenAlexW3107005864MaRDI QIDQ2662725

K. P. Druzhkov

Publication date: 14 April 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2020.104013

zbMATH Keywords

symplectic structurecotangent coveringtangent coveringvariational operator

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Variational methods applied to PDEs (35A15) Inverse problems for PDEs (35R30) Cauchy-Kovalevskaya theorems (35A10)

Related Items (5)

On the correspondence between the variational principles in the Eulerian and Lagrangian descriptions ⋮ Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles ⋮ Lagrangian formalism and the intrinsic geometry of PDEs ⋮ Internal Lagrangians of PDEs as variational principles ⋮ Presymplectic structures and intrinsic Lagrangians for massive fields

Cites Work

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• Geometry of jet spaces and integrable systems
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory
• On the Noether map
• The variational factors problem for systems of equations written in an extended Kovalevskaya form
• Presymplectic current and the inverse problem of the calculus of variations
• Long wave generation on a sloping beach

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