Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the Solutions of the Combined Korteweg-de Vries Equation by
  Turing Machines   In this paper, we study the computability of the initial value problem of the
Combined KdV equation. It is shown that, for any integer s>2, the nonlinear
solution operator which maps an initial condition data to the solution of the
Combined KdV equation can be computed by a Turing machine.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin