Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On peaked solitary waves of Camassa-Holm equation   Unlike the Boussinesq, KdV and BBM equations, the celebrated Casamma-Holm
(CH) equation can model both phenomena of soliton interaction and wave
breaking. Especially, it has peaked solitary waves in case of omega=0. Besides,
in case of omega > 0, its solitary wave "becomes $C^\infty$ and there is no
derivative discontinuity at its peak", as mentioned by Camassa and Holm in 1993
(PRL). However, it is found in this article that the CH equation has peaked
solitary waves even in case of omega > 0. Especially, all of these peaked
solitary waves have an unusual property: their phase speeds have nothing to do
with the height of peakons or anti-peakons. Therefore, in contrast to the
traditional view-points, the peaked solitary waves are a common property of the
CH equation: in fact, all mainstream models of shallow water waves admit such
kind of peaked solitary waves

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin