Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A spectral theory for simply periodic solutions of the sinh-Gordon
  equation   In this work a spectral theory for 2-dimensional, simply periodic,
complex-valued solutions u of the sinh-Gordon equation is developed. Spectral
data for such solutions are defined (following Hitchin and Bobenko) and the
space of spectral data is described by an asymptotic characterization. Using
methods of asymptotic estimates, the inverse problem for the spectral data is
solved along a line, i.e. the solution u is reconstructed on a line from the
spectral data. Finally a Jacobi variety and Abel map for the spectral curve is
constructed; they are used to describe the change of the spectral data under
translation of the solution u.

17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat