Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weakly non-linear dynamics in reaction -- diffusion systems with
  L\'{e}vy flights   Reaction--diffusion equations with a fractional Laplacian are reduced near a
long wave Hopf bifurcation. The obtained amplitude equation is shown to be the
complex Ginzburg-Landau equation with a fractional Laplacian. Some of the
properties of the normal complex Ginzburg-Landau equation are generalised for
the fractional analogue. In particular, an analogue of Kuramoto-Sivashinsky
equation is derived.

0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex