Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective equations for repulsive quasi-1D BECs trapped with anharmonic
  transverse potentials   One-dimensional nonlinear Schr\"odinger equations are derived to describe the
axial effective dynamics of cigar-shaped atomic repulsive Bose-Einstein
condensates trapped with anharmonic transverse potentials. The accuracy of
these equations in the perturbative, Thomas-Fermi, and crossover regimes were
verified numerically by comparing the ground-state profiles, transverse
chemical potentials and oscillation patterns with those results obtained for
the full three-dimensional Gross-Pitaevskii equation. This procedure allows us
to derive different patterns of 1D nonlinear models by the control of the
transverse confinement.

12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th