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

DOI10.1063/1.528758zbMath0704.58013OpenAlexW2087127142MaRDI QIDQ3484054

Jacek Tafel

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528758

zbMATH Keywords

Bäcklund transformationYang-Mills equationsZakharov-Shabat transformations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations ⋮ Self-duality equation: Monodromy matrices and algebraic curves ⋮ Some integrable hierarchies in (2+1) dimensions and their twistor description ⋮ Bianchi Permutability for the Anti-Self-Dual Yang-Mills Equations ⋮ Two-dimensional reductions of the self-dual Yang–Mills equations in self-dual spaces

Cites Work

• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Instantons and algebraic geometry
• A comparison of solution generating techniques for the self-dual Yang–Mills equations
• On self-dual gauge fields