A GENERALIZED BÄCKLUND TRANSFORMATION FOR THE (SUPER SYMMETRIC) SELF-DUAL YANG-MILLS FIELDS

Abstract

We derive a Bäcklund transformation for the self-dual Yang-Mills fields by using the method of special Riemann problem with one zero, in which the moving poles in the complex parameter plane are incorporated. This BT is more general than a previously given one and is capable of generating in one step monopole or instanton solutions from a vacuum solution. We further extend this result to the case of the supersymmetric self-dual Yang-Mills fields.