Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behavior for the long-range nonlinear Schr\"odinger equation
  on star graph with the Kirchhoff boundary condition   We consider the cubic nonlinear Schr\"{o}dinger equation on the star graph
with the Kirchhoff boundary condition. We prove modified scattering for the
final state problem and the initial value problem. Moreover, we also consider
the failure of scattering for the Schr\"{o}dinger equation with power-type
long-range nonlinearities. These results are extension of the results for NLS
on the one dimensional Euclidean space.

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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con