Generating the Bogomolny-Prasad-Sommerfield One-Monopole Solution by a Bäcklund Transformation

Abstract
It is shown that the Bogomolny equations for the simplest static, axially symmetric gauge fields are equivalent to the Ernst equation. The Bogolmolny-Prasad-Sommerfield one-monopole solution is obtained via Harrison's Bäcklund transformation.