Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soliton-preserving boundary condition in affine Toda field theories   We give a new integrable boundary condition in affine Toda theory which is
soliton-preserving in the sense that a soliton hitting the boundary is
reflected as a soliton. All previously known integrable boundary conditions
forced a soliton to be converted into an antisoliton upon reflection. We prove
integrability of our boundary condition using a generalization of Sklyanin's
formalism.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas