Lie algebras in vortex dynamics and celestial mechanics. IV.

DOI10.1070/RD1999v004n01ABEH000097zbMath1076.76513arXivnlin/0503066MaRDI QIDQ5949861

Alexei V. Bolsinov, Ivan. S. Mamaev, Alexey V. Borisov

Publication date: 5 December 2001

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0503066

zbMATH Keywords

three-body problemLie-Poisson structure

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Three-body problems (70F07) Hamilton's equations (70H05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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