Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal symmetry and the nonlinear Schrodinger equation   We show that the width of the wave-packet of a class of generalized nonlinear
Schrodinger equations (NLSE) trapped in an arbitrary time-dependent harmonic
well in any dimensions is universally determined by the same Hill's equation.
This class of generalized NLSE is characterized by a dynamical O(2,1) symmetry
in absence of the trap. As an application, we study the dynamical instabilities
of the rotating as well as non-rotating Bose-Einstein condensates in one and
two dimensions. We also show exact extended parametric resonance in a
non-relativistic Chern-Simons theory producing a gauged NLSE.

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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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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: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: econ