Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical and variational solutions of the dipolar Gross-Pitaevskii
  equation in reduced dimensions   We suggest a simple Gaussian Lagrangian variational scheme for the reduced
time-dependent quasi-one- and quasi-two-dimensional Gross-Pitaevskii (GP)
equations of a dipolar Bose-Einstein condensate (BEC) in cigar and disk
configurations, respectively. The variational approximation for stationary
states and breathing oscillation dynamics in reduced dimensions agrees well
with the numerical solution of the GP equation even for moderately large
short-range and dipolar nonlinearities. The Lagrangian variational scheme also
provides much physical insight about soliton formation in dipolar BEC.

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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: funct-an