Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical bifurcation and stability for the capillary-gravity Whitham
  equation   We adopt a robust numerical continuation scheme to examine the global
bifurcation of periodic traveling waves of the capillary-gravity Whitham
equation, which combines the dispersion in the linear theory of
capillary-gravity waves and a shallow water nonlinearity. We employ a highly
accurate numerical method for space discretization and time stepping, to
address orbital stability and instability for a rich variety of the solutions.
Our findings can help classify capillary-gravity waves and understand their
long-term dynamics.

26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph