Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersolid behavior in one-dimensional self-trapped Bose-Einstein
  condensate   Supersolid is an exotic state of matter, showing crystalline order with a
superfluid background, observed recently in dipolar Bose-Einstein condensate
(BEC) in a trap. Here, we present exact solutions of the desired Bloch form in
the self-trapped free-floating quantum fluid. Our general solutions of the
amended nonlinear Schr{\"o}dinger equation, governing the mean-field and beyond
mean-field dynamics, are obtained through a M{\"o}bius transform, connecting a
wide class of supersolid solutions to the ubiquitous cnoidal waves. The
solutions yield the constant condensate, supersolid behavior and the
self-trapped droplet in different parameter domains. The lowest residual
condensate is found to be exactly one-third of the constant background.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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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: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: eess