Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant solutions of a nonlinear wave equation with a small
  dissipation obtained via approximate symmetries   In this paper, it is shown how a combination of approximate symmetries of a
nonlinear wave equation with small dissipations and singularity analysis
provides exact analytic solutions. We perform the analysis using the Lie
symmetry algebra of this equation and identify the conjugacy classes of the
one-dimensional subalgebras of this Lie algebra. We show that the subalgebra
classification of the integro-differential form of the nonlinear wave equation
is much larger than the one obtained from the original wave equation. A
systematic use of the symmetry reduction method allows us to find new invariant
solutions of this wave equation.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga