56 citations · 66 across the 8 of their papers we have counts for
8 papers
Surfaces of Constant negative Scalar Curvature and the Correpondence between the Liouvulle and the sine-Gordon Equations
H. Belich, G. Cuba, R. Paunov
By studying the {\it internal} Riemannian geometry of the surfaces of constant negative scalar curvature, we obtain a natural map between the Liouville, and the sine-Gordon equatio…
Toda Solitons: a Relation between Dressing transformations and Vertex Operators
H. Belich, R. Paunov
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 princip…
Vertex Operator Representation of the Soliton Tau Functions in the Toda Models by Dressing Transformations
H. Belich, G. Cuba, R. Paunov
We study the relation between the group-algebraic approach and the dressing symmetry one to the soliton solutions of the Toda field theory in 1+1 dimensions. Originally…
Toda solitons and the dressing symmetry
H. Belich, R. Paunov
We present an elementary derivation of the soliton-like solutions in the Toda models which is alternative to the previously used Hirota method. The solutions of the und…
Dressing Transformations and the Algebraic--Geometrical Solutions in the Conformal Affine Toda Model
R. Paunov
It is shown that the algebraic--geometrical (or quasiperiodic) solutions of the Conformal Affine Toda model are generated from the vacuum via dressing transformations. This…
On the Algebraic--Geometrical Solutions of the sine--Gordon Equation
R. Paunov
We examine the relation between two known classes of solutions of the sine--Gordon equation, which are expressed by theta functions on hyperelliptic Riemann surfaces. The first one…