Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted hierarchies associated with the generalized sine-Gordon equation   Twisted $U$- and twisted $U/K$-hierarchies are soliton hierarchies introduced
by Terng to find higher flows of the generalized sine-Gordon equation. Twisted
$\frac {O(J,J)}{O(J)\times O(J)}$-hierarchies are among the most important
classes of twisted hierarchies. In this paper, interesting first and higher
flows of twisted $\frac {O(J,J)}{O(J)\times O(J)}$-hierarchies are explicitly
derived, the associated submanifold geometry is investigated and a unified
treatment of the inverse scattering theory is provided.

27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph