Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse Scattering Transform for the Toda Hierarchy with Quasi-Periodic
  Background   We provide a rigorous treatment of the inverse scattering transform for the
entire Toda hierarchy in the case of a quasi-periodic finite-gap background
solution.

10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom