Dressing transformations and the algebraic-geometrical solutions in the conformal affine sl(2) Toda model

It is shown that the algebraic-geometrical (or quasiperiodic) solutions of the conformal affine sl(2) Toda model are generated from the vacuum via dressing transformations. This result generalizes the result of Babelon and Bernard which states that the N-soliton solutions are generated from the vacuum by dressing transformations.