Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformation of surfaces, integrable systems and Self-Dual Yang-Mills
  equation   We conjecture that many (maybe all) integrable equations and spin systems in
2+1 dimensions can be obtained from the (2+1)-dimensional
Gauss-Mainardi-Codazzi and Gauss-Weingarten equations, respectively. We also
show that the (2+1)-dimensional Gauss-Mainardi-Codazzi equation which describes
the deformation (motion) of surfaces is the exact reduction of the
Yang-Mills-Higgs-Bogomolny and Self-Dual Yang-Mills equations. On the basis of
this observation, we suggest that the (2+1)-dimensional Gauss-Mainardi-Codazzi
equation is a candidate to be integrable and the associated linear problem (Lax
representation) with the spectral parameter is presented.

13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga