Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov   We introduce a long wave scaling for the Vlasov-Poisson equation and derive,
in the cold ions limit, the Korteweg-De Vries equation (in 1D) and the
Zakharov-Kuznetsov equation (in higher dimensions, in the presence of an
external magnetic field). The proofs are based on the relative entropy method.

36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio