Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse scattering for the nonlinear Schr\"{o}dinger equation with the
  Yukawa potential   We study the inverse scattering problem for the three dimensional nonlinear
Schroedinger equation with the Yukawa potential. The nonlinearity of the
equation is nonlocal. We reconstruct the potential and the nonlinearity by the
knowledge of the scattering states. Our result is applicable to reconstructing
the nonlinearity of the semi-relativistic Hartree equation.

7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an