Dressing Transformations and the Algebraic--Geometrical Solutions in the Conformal Affine $sl(2)$ Toda Model

Abstract

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.

12 pages, latex, no figures

References in corpus (6)

• Dressing Symmetries
• The Sine-Gordon Solitons as a N-Body Problem
• Affine Solitons: A Relation Between Tau Functions, Dressing and Bäcklund Transformations
• Isospectral flow in Loop Algebras and Quasiperiodic Solutions of the Sine-Gordon Equation
• Isospectral Flow and Liouville-Arnold Integration in Loop Algebras
• On the Algebraic--Geometrical Solutions of the sine--Gordon Equation

Cited by in corpus (2)

• Quantization of Solitons and the Restricted Sine-Gordon Model
• $A_n^{(1)}$ Toda solitons and the dressing symmetry