Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leapfrogging Kelvin waves   Two vortex rings can form a localized configuration whereby they continually
pass through one another in an alternating fashion. This phenomenon is called
leapfrogging. Using parameters suitable for superfluid helium-4, we describe a
recurrence phenomenon that is similar to leapfrogging, which occurs for two
coaxial straight vortex filaments with the same Kelvin wave mode. For
small-amplitude Kelvin waves we demonstrate that our full Biot-Savart
simulations closely follow predictions obtained from a simpified model that
provides an analytical approximation developed for nearly parallel vortices.
Our results are also relevant to thin-cored helical vortices in classical
fluids.

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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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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: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat