Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplace transformation of Lie class \omega=1 overdetermined systems   In this paper we investigate overdetermined systems of scalar PDEs on the
plane with one common characteristic, whose general solution depends on 1
function of 1 variable. We describe linearization of such systems and their
integration via Laplace transformation, relating this to Lie's integration
theorem and formal theory of PDEs.

29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat