In this Letter, we present the third kind of Darboux transformation of the
classical Boussinesq system, and discuss its relationship with the two basi
c Darboux transformations. By applying the Darboux transformations, we obta
in the solutions of multiple soliton interactions, including overtaking and
head-on collisions. (C) 2001 Elsevier Science B.V. All rights reserved.