Darboux-Jouanolou integrability over arbitrary fields

DOI10.1016/J.JPAA.2020.106427zbMath1459.37046arXiv1902.09571OpenAlexW3031497497MaRDI QIDQ2220177

Yanyan Li

Publication date: 22 January 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09571

zbMATH Keywords

differential formsvector fieldsalgebraic integrability

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Related Items (1)

Positive characteristic Darboux-Jouanolou integrability of differential forms

Cites Work

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• Invariant hypersurfaces for positive characteristic vector fields
• On the integrability of the Einstein-Yang-Mills equations
• Rikitake system: analytic and Darbouxian integrals
• Integrability of the Bianchi IX system
• Sur les hypersurfaces solutions des équations de Pfaff
• Exponential factors and Darbouxian first integrals of the Lorenz system

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