Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Dynamics of Ripples   A new nonlinear equation governing asymptotic dynamics of ripples is derived
by using a short wave perturbative expansion on a generalized version of the
Green-Naghdi system. It admits peakon solutions with amplitude, velocity and
width in interrelation and static compacton solutions with amplitude and width
in interrelation. Short wave pattern formation is shown to result from a
balance between linear dispersion and nonlinearity.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex