Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation at blow-up time of self-similar solutions for the modified
  Korteweg-de Vries equation   We prove a first stability result of self-similar blow-up for the modified
KdV equation on the line. More precisely, given a self-similar solution and a
sufficiently small regular profile, there is a unique global solution which
behaves at t tends to 0 as the sum of the self-similar solution and the smooth
perturbation.

15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph