Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lax pairs for additive difference Painlev\'e equations   A Lax pair for the additive difference Painlev\'e equation of type
$E_7^{(1)}$ is explicitly obtained as certain linear difference equations of
scalar form. The compatibility of the Lax pair is proved by using certain
characterization of the coefficients in the Lax equation. Some Lax pairs for
types $E_6^{(1)}$, $D_4^{(1)}$ and $A_3^{(1)}$ are also given by the
degeneration.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol