Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group Theoretical Symmetries and Generalized Baecklund Transformations
  for Integrable Systems   We present a notion of symmetry for 1+1-dimensional integrable systems which
is consistent with their group theoretic description and reproduces in special
cases the known Baecklund transformation for the generalized Korteweg-deVries
hierarchies. We also apply it to the relativistic invariance of the
Leznov-Saveliev systems.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg