Reduction of self-dual Yang-Mills equations with respect to subgroups of the extended Poincaré group

DOI10.1007/BF02630458zbMath0911.53051OpenAlexW2045619505MaRDI QIDQ1280840

W. I. Fushchich, V. I. Lahno

Publication date: 15 March 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02630458

zbMATH Keywords

Minkowski spaceYang-Mills fieldself-dual Yang-Mills equationssymmetry reductionextended Poincaré group

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Applications of differential geometry to physics (53Z05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetries of \(SU(2)\) invariant Yang-Mills theories
• Lax pairs of integrable equations in \(1\leq d\leq 3\) dimensions as reductions of the Lax pair for the self-dual Yang-Mills equations
• Some new integrable equations from the self-dual Yang-Mills equations
• Reductions by isometries of the self-dual Yang–Mills equations in four-dimensional Euclidean space
• Two-dimensional reductions of the self-dual Yang–Mills equations in self-dual spaces
• Conditional symmetry and new classical solutions of the Yang-Mills equations
• Reductions of self-dual Yang-Mills fields and classical systems
• Symmetry Reduction and Exact Solutions of the Yang-Mills Equations
• Some reductions of the self-dual Yang–Mills equations to integrable systems in 2+1 dimensions

This page was built for publication: Reduction of self-dual Yang-Mills equations with respect to subgroups of the extended Poincaré group