Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of peakons for a cubic generalization of the Camassa-Holm
  equation   In this paper, we study the following generalized Camassa-Holm equation with
both cubic and quadratic nonlinearities: $$
m_{t}+k_{1}(3uu_{x}m+u^2m_{x})+k_{2}(2mu_{x}+m_{x}u)=0, \quad m=u-u_{xx}, $$
which is presented as a linear combination of the Novikov equation and the
Camassa-Holm equation with constants $k_{1}$ and $k_{2}$. The model is a cubic
generalization of the Camassa-Holm equation. It is shown that the equation
admits single-peaked soliton and periodic peakons.

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
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics