Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of solutions to Toda systems of types $C$ and $B$ with
  singular sources   In this paper, the classification in [Lin,Wei,Ye] of solutions to Toda
systems of type $A$ with singular sources is generalized to Toda systems of
types $C$ and $B$. Like in the $A$ case, the solution space is shown to be
parametrized by the abelian subgroup and a subgroup of the unipotent subgroup
in the Iwasawa decomposition of the corresponding complex simple Lie group. The
method is by studying the Toda systems of types $C$ and $B$ as reductions of
Toda systems of type $A$ with symmetries. The theories of Toda systems as
integrable systems as developed in [Leznov, Saveliev, Nie], in particular the
$W$-symmetries and the iterated integral solutions, play essential roles in
this work, together with certain characterizing properties of minors of
symplectic and orthogonal matrices.

16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org