Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability of a nonlinear evolution equation derived from
  isoperimetric plane curve motion   We provide a geometrical interpretation for the series of transformations
used by Sakovich to map the third-order nonlinear evolution equation obtained
by Chou and Qu to the mKdV equation. We also discuss its bi-Hamiltonian
integrability as well as integrable equations associated with this system.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg