Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the criteria for integrability of the Li\'{e}nard equation   The Li\'{e}nard equation is of a high importance from both mathematical and
physical points of view. However a question about integrability of this
equation has not been completely answered yet. Here we provide a new criterion
for integrability of the Li\'{e}nard equation using an approach based on
nonlocal transformations. We also obtain some of previously known criteria for
integrability of the Li\'{e}nard equation as a straightforward consequences of
our approach's application. We illustrate our results by several new examples
of integrable Li\'{e}nard equations.

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The categories of this paper are: plasm-ph
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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: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph