Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New construction of algebro-geometric solutions to the Camassa-Holm
  equation and their numerical evaluation   An independent derivation of solutions to the Camassa-Holm equation in terms
of multi-dimensional theta functions is presented using an approach based on
Fay's identities. Reality and smoothness conditions are studied for these
solutions from the point of view of the topology of the underlying real
hyperelliptic surface. The solutions are studied numerically for concrete
examples, also in the limit where the surface degenerates to the Riemann
sphere, and where solitons and cuspons appear.

27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph