Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The structure of rationally factorized Lax type flows and their
  analytical integrability   The work is devoted to constructing a wide class of differential-functional
dynamical systems, whose rich algebraic structure makes their integrability
analytically effective. In particular, there is analyzed in detail the operator
Lax type equations for factorized seed elements, there is proved an important
theorem about their operator factorization and the related analytical solution
scheme to the corresponding nonlinear differential-functional dynamical
systems.

0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th