Nahm’s equations, singular point analysis, and integrability

DOI10.1063/1.527307zbMath0621.34008OpenAlexW2082771379MaRDI QIDQ3756557

Willi-Hans Steeb, J. A. Louw

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527307

zbMATH Keywords

Painlevé testexpansion coefficientsLaurent expansioncompletely integrable systemNahm's equationssingular point analysismonopole solutions in Yang-Mills theory

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Explicit solutions, first integrals of ordinary differential equations (34A05) General theory for ordinary differential equations (34A99)

Related Items (6)

Painlevé test of the McKean and Carleman models ⋮ On a Painlevé test of a coupled system of Boussinesq and Schrödinger equations ⋮ Lax representation and Kronecker product ⋮ Painlevé test and energy level motion ⋮ Controlling chaotic oscillators without feedback ⋮ Complexity in spacetime and gravitation. I: From chaos to superchaos

Cites Work

• Construction of instanton and monopole solutions and reciprocity
• On the construction of monopoles
• Nahm's equations and the classification of monopoles
• The Painlevé property for partial differential equations
• Necessary condition for the existence of algebraic first integrals
• Necessary condition for the existence of algebraic first integrals

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