<math> A(1)n</math> Toda Solitons and the Dressing Symmetry

Physics NotePublished

$<math> A^{(1)}n</math>$ Toda Solitons and the Dressing Symmetry

H. Belich Jr; R. Paunov

1996

Authors: H. Belich Jr; R. Paunov
Type: Physics Note
Status: Published
Publication date: 1996
Description: We present an elementary derivation of the soliton-like solutions in the <math> A^{(1)}n\,\!</math> Toda models which is alternative to the previously used Hirota method. The solutions of the underlying linear problem corresponding to the N-solitons are calculated. This enables us to obtain explicit expression for the element which by dressing group action, produces a generic soliton solution. In the particular example of monosolitons we suggest a relation to the vertex operator formalism, previously used by Olive, Turok and Underwood. Our results can also be considered as generalization of the approach to the sine-Gordon solitons, proposed by Babelon and Bernard.
Year: 1996
Number: CBPF-NF-059/96
Linked to a thesis: No
Linked to a grant: No