Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of the internal gravity waves in the heterogeneous and
  nonstationary stratified mediums   In the present paper in the assumption of the slowness of variation of the
vertically stratified medium parameters in the horizontal direction within the
time we have analyzed the evolution of the non-harmonic wave trains of the
internal gravity waves. The particular form of the wave train can be expressed
through some special functions, for example, Airy functions, Fresnel integrals,
Pearsy integrals, etc., and is determined by the local behavior of the
dispersion curves of the separate modes near to the corresponding singular
points. The solution of this problem is possible using the modified version of
the space-time ray-tracing method offered by the authors (the method of the ray
optics), the fundamental difference of which consists, that the asymptotic
notation of such a solution should be searched for in the form of the series
using the non-integral degrees of some small parameter, the asymptotic forms of
the solution at analysis of evolution of the non-harmonic wave trains present
in the stratified non-stationary horizontally-non-uniform mediums is searched
in the form of the series using the non-integral degrees of some small
parameter, at that the exponent depends on the concrete type of the wave train
notation. The particular form of the notation is determined from the
asymptotical behavior of the solution in the stationary
horizontally-homogeneous event. The phase of the wave train will be determined
from the corresponding eikonal equation, which can be solved numerically using
the characteristics (rays). The amplitude of the wave train is determined from
some law of preservation along the characteristics (rays).

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org