  The inverse scattering method of Belinsky and Zakharov is a powerful method
to construct solutions of vacuum Einstein equations. In particular, in five
dimensions this method has been successfully applied to construct a large
variety of black hole solutions. Recent applications of this method to
Einstein-Maxwell-dilaton (EMd) theory, for the special case of Kaluza-Klein
dilaton coupling, has led to the construction of the most general black ring in
this theory. In this contribution, we review the inverse scattering method and
its application to the EMd theory. We illustrate the efficiency of these
methods with a detailed construction of an electrically charged black ring.
