Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex Operator Representation of the Soliton Tau Functions in the
  $A_n^{(1)}$ Toda Models by Dressing Transformations   We study the relation between the group-algebraic approach and the dressing
symmetry one to the soliton solutions of the $A_n^{(1)}$ Toda field theory in
1+1 dimensions. Originally solitons in the affine Toda models has been found by
Olive, Turok and Underwood. Single solitons are created by exponentials of
elements which ad-diagonalize the principal Heisenberg subalgebra.
Alternatively Babelon and Bernard exploited the dressing symmetry to reproduce
the known expressions for the fundamental tau functions in the sine-Gordon
model. In this paper we show the equivalence between these two methods to
construct solitons in the $A_n^{(n)}$ Toda models.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an