Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable-Range Approach to Short Wave and Khokhlov-Zabolotskaya Equations   Short wave equations were introduced in connection with the nonlinear
reflection of weak shock waves. They also relate to the modulation of a
gas-fluid mixture. Khokhlov-Zabolotskaya equation are used to describe the
propagation of a diffraction sound beam in a nonlinear medium. We give a new
algebraic method of solving these equations by using certain finite-dimensional
stable range of the nonlinear terms and obtain large families of new explicit
exact solutions parameterized by several functions for them. These parameter
functions enable one to find the solutions of some related practical models and
boundary value problems.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga