Self-dual Yang–Mills hierarchy: A nonlinear integrable dynamical system in higher dimensions

DOI10.1063/1.529423zbMath0736.58043OpenAlexW2042399964MaRDI QIDQ3977848

Yoshimasa Nakamura

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529423

zbMATH Keywords

integrable dynamical systemself-dual Yang-Mills hierarchy

Mathematics Subject Classification ID

Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

Deformations of algebraic curves and integrable nonlinear evolution equations

Cites Work

• Hierarchy structure in integrable systems of gauge fields and underlying Lie algebras
• Transformation theory for anti-self-dual equations
• A new approach to the self-dual Yang-Mills equations
• Solvability of the super KP equation and generalized of the Birkhoff decomposition
• Transformation group acting on a self-dual Yang–Mills hierarchy
• Periodic reduction of self-dual Yang–Mills equations
• On self-dual Yang-Mills hierarchy

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