<math>An(1)</math> Toda Solitons: A Relation between Dressing Transformations and Vertex Operators

Physics NotePublished

$<math>A_n^{(1)}</math>$ Toda Solitons: A Relation between Dressing Transformations and Vertex Operators

H. Belich Jr; R. Paunov

1998

Authors: H. Belich Jr; R. Paunov
Type: Physics Note
Status: Published
Publication date: 1998
Description: 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 <math>A_n^{(1)}\,\!</math> Toda models, we exploit the symmetry of the underlying linear problem to calculate the dressing group element which generates arbitrary N-soliton solution from the vacuum. Starting from this result we recover the vertex operator representation of the soliton tau functions.
Year: 1998
Number: CBPF-NF-050/98
Linked to a thesis: No
Linked to a grant: No