Applications of Darboux transformations to the self-dual Yang-Mills equations (Q1586706)

Solutions in closed form to the self-dual Yang-Mills equations are constructed in this paper by using Darboux transformations and binary Darboux transformations of almost classical type. The authors provide solutions of Wronskian-like and Gram-like determinants. The fact that binary Darboux transformations preserve the property that the associated Lax pair is self-adjoint for solutions in \(\mathrm{SU}(N)\) is used.