First integrals and Yoshida analysis of Nahm's equations

DOI10.1088/0305-4470/19/10/002zbMath0616.58043OpenAlexW2073999372MaRDI QIDQ4725394

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Publication date: 1986

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/19/10/002

zbMATH Keywords

Nahm's equationsmonopole solutions in Yang-Mills theories

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constructive quantum field theory (81T08) Applications of dynamical systems (37N99)

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A word of caution concerning the Yoshida criterion on algebraic integrability and Kowalevski exponents

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