Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate symmetries of the Harry Dym equation   In this paper, we derive the first order approximate symmetries for the Harry
Dym equation by the method of approximate transformation groups proposed by
Baikov, Gaszizov and Ibragimov. Moreover, we investigate the structure of the
Lie algebra of symmetries of the perturbed Harry Dym equation. We compute the
one-dimensional optimal system of subalgebras as well as point out some
approximately differential invariants with respect to the generators of Lie
algebra and optimal system.

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The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ