Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orbital stability of peakon solutions for a generalized higher-order
  Camassa-Holm equation   In this paper, we investigate the orbital stability issue of a generalized
higher-order Camassa-Holm (HOCH) equation, which is an higher-order extension
of the quadratic CH equation. Firstly, we show that the HOCH equation admits a
global weak peakon solution by paring it with ssome smooth test function.
Secondly, with the help of two conserved quantities and the non-sgn-changing
condition, we prove the orbital stability of this peakon solution in the energy
space in the sense that its shape remains approximately the same for all times.
Our results enrich the research of the orbital stability for the CH-type
equations and are useful to better understand the impact of higher-order
nonlinearities on the dispersion dynamics.

19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat