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

Abstract

It is shown that all self-dual Yang–Mills fields generated by the Atiyah–Ward Ansätze 𝒜l can be obtained from the Ansatz 𝒜0 by the ‘‘dressing’’ method of Zakharov and Shabat [Funct. Anal. Appl. 13, 166 (1979)].