Relationship Between Solitonic Solutions of Five-Dimensional Einstein   Equations
  We give the relation between the solutions generated by the inverse scattering method and the B\"acklund transformation applied to the vacuum five-dimensional Einstein equations. In particular, we show that the two-solitonic solutions generated from an arbitrary diagonal seed by the B\"acklund transformation are contained within those generated from the same seed by the inverse scattering method. 
Shinya Tomizawa, Hideo Iguchi and Takashi Mishima