Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis of three-dimensional breather solitons in a
  Bose-Einstein Condensate   We investigate the stability properties of breather soliton trains in a
three-dimensional Bose-Einstein Condensate with Feshbach Resonance Management
of the scattering length. This is done so as to generate both attractive and
repulsive interaction. The condensate is con ned only by a one dimensional
optical lattice and we consider both strong, moderate, and weak con nement. By
strong con nement we mean a situation in which a quasi two dimensional soliton
is created. Moderate con nement admits a fully three dimensional soliton. Weak
con nement allows individual solitons to interact. Stability properties are
investigated by several theoretical methods such as a variational analysis,
treatment of motion in e ective potential wells, and collapse dynamics. Armed
with all the information forthcoming from these methods, we then undertake a
numerical calculation. Our theoretical predictions are fully con rmed, perhaps
to a higher degree than expected. We compare regions of stability in parameter
space obtained from a fully 3D analysis with those from a quasi two-dimensional
treatment, when the dynamics in one direction are frozen. We nd that in the 3D
case the stability region splits into two parts. However, as we tighten the con
nement, one of the islands of stability moves toward higher frequencies and the
lower frequency region becomes more and more like that for quasi 2D. We
demonstrate these solutions in direct numerical simulations and, importantly,
suggest a way of creating robust 3D solitons in experiments in a Bose Einstein
Condensate in a one-dimensional lattice.

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The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph