A comparison of solution generating techniques for the self-dual Yang–Mills equations

DOI10.1063/1.528386zbMath0672.58053OpenAlexW4235789116MaRDI QIDQ3825813

Jacek Tafel

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528386

zbMATH Keywords

monopole solutionsAtiyah-Ward AnsatzZakharov-Shabat transformation

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Constructive quantum field theory (81T08) Applications of PDEs on manifolds (58J90)

Related Items

New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations ⋮ A comparison of solution generating techniques for the self-dual Yang–Mills equations. II

Cites Work

• Construction of instantons
• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Instantons and algebraic geometry
• Self-dual connections and the topology of smooth 4-manifolds
• On self-dual gauge fields