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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 182, Number 2, Pages 223–230
DOI: https://doi.org/10.4213/tmf8795 (Mi tmf8795) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Polynomial degree reduction of a Fuchsian $2{\times}2$ system

S. Yu. Slavyanov

St. Petersburg State Universityy, St. Petersburg, Russia
Full-text PDF (328 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8795
Abstract: A Fuchsian $2{\times}2$ system generating the Painlevé equation $\mathrm P^6$ 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.
Keywords: Fuchsian system, Painlevé equation.
Received: 16.09.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 182, Issue 2, Pages 182–188
DOI: https://doi.org/10.1007/s11232-015-0256-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Yu. Slavyanov, “Polynomial degree reduction of a Fuchsian $2{\times}2$ system”, TMF, 182:2 (2015), 223–230; Theoret. and Math. Phys., 182:2 (2015), 182–188
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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