Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A systematic construction of parity-time ($\cal PT$)-symmetric and
  non-$\cal PT$-symmetric complex potentials from the solutions of various real
  nonlinear evolution equations   We systematically construct a distinct class of complex potentials including
parity-time ($\cal PT$) symmetric potentials for the stationary Schr\"odinger
equation by using the soliton and periodic solutions of the four integrable
real nonlinear evolution equations (NLEEs) namely the sine-Gordon (sG)
equation, the modified Korteweg-de Vries (mKdV) equation, combined mKdV-sG
equation and the Gardner equation. These potentials comprise of kink, breather,
bion, elliptic bion, periodic and soliton potentials which are explicitly
constructed from the various respective solutions of the NLEEs. We demonstrate
the relevance between the identified complex potentials and the potential of
the graphene model from an application point of view.

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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th