Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable G-Strands on semisimple Lie groups   The present paper derives systems of partial differential equations that
admit a quadratic zero curvature representation for an arbitrary real
semisimple Lie algebra. It also determines the general form of Hamilton's
principles and Hamiltonians for these systems and analyzes the linear stability
of their equilibrium solutions in the examples of $\mathfrak{so}(3)$ and
$\mathfrak{sl}(2,\mathbb{R})$.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn