Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the time-evolution of resonant triads in rotational capillary-gravity
  water waves   We investigate an effect of the resonant interaction in the case of
one-directional propagation of capillary-gravity surface waves arising as the
free surface of a rotational water flow. Specifically, we assume a constant
vorticity in the body of the fluid which physically corresponds to an
underlying current with a linear horizontal velocity profile. We consider the
interaction of three distinct modes and we obtain the dynamic equations for a
resonant triad. Setting the constant vorticity equal to zero we recover the
well known integrable three-wave system.

2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat