Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soliton solutions of the non-linear Schroedinger equation with nonlocal
  Coulomb and Yukawa-interactions   We study the non-linear Schroedinger equation in (1+1) dimensions in which
the nonlinear term is taken in the form of a nonlocal interaction of the
Coulomb or Yukawa-type.
  We solve the equation numerically and find that, for all values of the
nonlocal coupling constant, and in all cases, the equation possesses solitonic
solutions. We show that our results, for the dependence of the height of the
soliton on the coupling constant, are in good agreement with the predictions
based on an analytic treatment in which the soliton is approximated by a
gaussian.

1
The categories of this paper are: cs
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
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th