Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Transformations of the Rabelo Equations   We study four distinct second-order nonlinear equations of Rabelo which
describe pseudospherical surfaces. By transforming these equations to the
constant-characteristic form we relate them to some well-studied integrable
equations. Two of the Rabelo equations are found to be related to the
sine-Gordon equation. The other two are transformed into a linear equation and
the Liouville equation, and in this way their general solutions are obtained.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat