Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified energies for the periodic generalized KdV equation and
  applications   We construct modified energies for the generalized KdV equation. As a
consequence, we obtain quasi-invariance of the high order Gaussian measures
along with $L^p$ regularity on the corresponding Radon-Nykodim density, as well
as new bounds on the growth of the Sobolev norms of the solutions.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol