Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New contiguity relation of the sixth Painlev\'e equation from a
  truncation   For the master Painlev\'e equation P6(u), we define a consistent method,
adapted from the Weiss truncation for partial differential equations, which
allows us to obtain the first degree birational transformation of Okamoto. Two
new features are implemented to achieve this result. The first one is the
homography between the derivative of the solution $u$ and a Riccati
pseudopotential. The second one is an improvement of a conjecture by Fokas and
Ablowitz on the structure of this birational transformation. We then build the
contiguity relation of P6, which yields one new second order nonautonomous
discrete equation.

28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con