Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability in differential coverings   Let $\tau\colon\tilde{\mathcal{E}}\to\mathcal{E}$ be a differential covering
of a PDE $\tilde{\mathcal{E}}$ over $\mathcal{E}$. We prove that if
$\mathcal{E}$ possesses infinite number of symmetries and/or conservation laws
then $\tilde{\mathcal{E}}$ has similar properties.

1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin