Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of a Bright Soliton in Bose-Einstein condensates with
  Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential   We present a family of exact solutions of one-dimensional nonlinear
Schr\"odinger equation, which describe the dynamics of a bright soliton in
Bose-Einstein condensates with the time-dependent interatomic interaction in an
expulsive parabolic potential. Our results show that, under the safe range of
parameters, the bright soliton can be compressed into very high local matter
densities by increasing the absolute value of atomic scattering length, which
can provide an experimental tool for investigating the range of validity of the
one-dimensional Gross-Pitaevskii equation. We also find that the number of
atoms in the bright soliton keeps dynamic stability: a time-periodic atomic
exchange is formed between the bright soliton and the background.

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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: q-fin