Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral formulas for Painlev\'e-2 transcendent   In the work we use integral formulas for calculating the monodromy data for
the Painlev\'e-2 equation. The perturbation theory for the auxiliary linear
system is constructed and formulas for the variation of the monodromy data are
obtained. We also derive a formula for solving the linearized Painlev\'e-2
equation based on the Fourier-type integral of the squared solutions of the
auxiliary linear system of equations.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
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
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int