ABSTRACT
Affine Toda equations based on simple Lie algebras arise by imposing zero curvature condition on a Lax connection which belongs to the corresponding loop Lie algebra in the principal gradation. In the particular case of A n ( 1 ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429187674/f8337d7b-6b74-4da5-ae84-c225ed353b0a/content/in275_2.tif"/> Toda models, we exploit the symmetry of the underlying linear problem to calculate the dressing group element which generates arbitrary λγ-soliton solution from the vacuum. Starting from this result we recover the vertex operator representation of the soliton tau functions.
