Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mapping Between Nonlinear Sch\"odinger Equations with Real and Complex
  Potentials   A mapping between stationary solutions of nonlinear Sch\"odinger equations
with real and complex potentials is constructed and a set of exact solutions
with real energies are obtained for a large class of complex potentials. As
specific examples we consider the case of the damped dynamics of a quantum
harmonic oscillator and the case of dissipative periodic soliton solutions of
the nonlinear Schr\"odinger equation with complex potential.

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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg