Abstract
Axially symmetric soliton solutions for self-dual SU(N) gauge fields on Euclidean four-dimensional flat space are found using an extension of the Belinsky–Zakharov solution generating technique. The new solutions depend at most on N−1 arbitrary solutions of the usual Laplace equations in cylindrical coordinates. The inverse scattering method using the chosen seen solution reduces to the computation of at most N−1 quadratures. The n-soliton solution is written in a determinantal form. Three particular cases of one-soliton solutions for the SU(5) group are exhibited.
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