Analytic first integrals of the Halphen system

DOI10.1016/j.geomphys.2005.06.010zbMath1102.34300OpenAlexW2044184450MaRDI QIDQ2496674

Claudia Valls

Publication date: 20 July 2006

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2005.06.010

zbMATH Keywords

Einstein field equationsanalytic first integralHalphen system

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items

On the non-integrability of a generalized Darboux Halphen system, Nonintegrabilty of a Halphen system

Cites Work

• A simple example of modular forms as tau-functions for integrable equations
• On foundation of the generalized Nambu mechanics
• Integrable and near-integrable dynamical systems associated with Bianchi IX metrics
• On the algebraic non-integrability of the Halphen system
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