Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding Camassa-Holm equations in incompressible Euler   In this article, we show how to embed the so-called CH2 equations into the
geodesic flow of the Hdiv metric in 2D, which, itself, can be embedded in the
incompressible Euler equation of a non compact Riemannian manifold. The method
consists in embedding the incompressible Euler equation with a potential term
coming from classical mechanics into incompressible Euler of a manifold and
seeing the CH2 equation as a particular case of such fluid dynamic equation.

31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga