Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse Scattering Transform for the Camassa-Holm equation   An Inverse Scattering Method is developed for the Camassa-Holm equation. As
an illustration of our approach the solutions corresponding to the
reflectionless potentials are explicitly constructed in terms of the scattering
data. The main difference with respect to the standard Inverse Scattering
Transform lies in the fact that we have a weighted spectral problem. We
therefore have to develop different asymptotic expansions.

3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph