Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar
  condensates   We demonstrate the formation of multi-peak three-component stationary stripe
vector solitons in a quasi-one-dimensional spin-orbit-coupled hyper-fine spin
$F = 1$ polar Bose-Einstein condensate. The present investigation is carried
out through a numerical solution by imaginary-time propagation and an analytic
variational approximation of the underlying mean-field Gross-Pitaevskii
equation. Simple analytic results for energy and component densities were found
to be in excellent agreement with the numerical results for solitons with more
than 100 pronounced maxima and minima. The vector solitons are one of the two
types: dark-bright-dark or bright-dark-bright. In the former a maximum density
in component $ F_z = 0 $ at the center is accompanied by a zero in components
$F_z = \pm 1$. The opposite happens in the latter case. The vector solitons are
demonstrated to be mobile and dynamically stable. The collision between two
such vector solitons is found to be quasi elastic at large velocities with the
conservation of total density of each vector soliton. However, at very small
velocity, the collision is inelastic with a destruction of the initial vector
solitons. It is possible to observe and study the predicted SO-coupled vector
solitons in a laboratory.

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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph