Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical solutions of the Rayleigh equation for empty and gas--filled
  bubble   The Rayleigh equation for bubble dynamics is widely used. However, analytical
solutions of this equation have not been obtained previously. Here we find
closed--form general solutions of the Rayleigh equation both for an empty and
gas--filled spherical bubble. We present an approach allowing us to construct
exact solutions of the Rayleigh equation. We show that our solutions are useful
for testing numerical algorithms.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an