Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Semi-Algorithmic Search for Lie Symmetries   In [Solving second order ordinary differential equations by extending the
Prelle-Singer method, J. Phys. A: Math.Gen., 34, 3015-3024 (2001)] we defined a
function (we called S) associated to a rational second order ordinary
differential equation (rational 2ODE) that is linked to the search of an
integrating factor. In this work we investigate the relation between these
$S$-functions and the Lie symmetries of a rational 2ODE. Based on this relation
we can construct a semi-algorithmic method to find the Lie symmetries of a 2ODE
even in the case where it presents no Lie point symmetries.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int