Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing a class of topological solitons in magnetohydrodynamics   We present a class of topological plasma configurations characterized by
their toroidal and poloidal winding numbers, $n_t$ and $n_p$ respectively. The
special case of $n_t=1$ and $n_p=1$ corresponds to the Kamchatnov-Hopf soliton,
a magnetic field configuration everywhere tangent to the fibers of a Hopf
fibration so that the field lines are circular, linked exactly once, and form
the surfaces of nested tori. We show that for $n_t \in \mathbb{Z}^+$ and
$n_p=1$ these configurations represent stable, localized solutions to the
magnetohydrodynamic equations for an ideal incompressible fluid with infinite
conductivity. Furthermore, we extend our stability analysis by considering a
plasma with finite conductivity and estimate the soliton lifetime in such a
medium as a function of the toroidal winding number.

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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph