Abstract
A Fuchsian 2 × 2 system generating the Painlevé equation P 6 is acted on by a polynomial transformation similar to rotation in order to reduce the polynomial degree of matrices in the left- and the right-hand sides of the system. This clarifies the derivation of the Painlevé equation and the study of its symmetries.
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References
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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 2, pp. 223–230, February, 2015.
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Slavyanov, S.Y. Polynomial degree reduction of a Fuchsian 2×2 system. Theor Math Phys 182, 182–188 (2015). https://doi.org/10.1007/s11232-015-0256-4
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DOI: https://doi.org/10.1007/s11232-015-0256-4