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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 17–33
(Mi znsl6652)
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This article is cited in 1 scientific paper (total in 1 paper)
Necessary conditions of point equivalence of second-order ODEs to the sixth Painlevé equation
Yu. Yu. Bagderina Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa, Russia
Abstract:
Equivalence problem for a projective type scalar second-order ordinary differential equations is considered with respect to invertible point changes of variables. Invariants of the equivalence transformation group of this family of equations are used to find the necessary conditions of the equivalence to the sixth Painlevé equation.
Key words and phrases:
Painlevé equation, equivalence, invariant.
Received: 01.11.2018
Citation:
Yu. Yu. Bagderina, “Necessary conditions of point equivalence of second-order ODEs to the sixth Painlevé equation”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 17–33; J. Math. Sci. (N. Y.), 242:5 (2019), 595–607
Linking options:
https://www.mathnet.ru/eng/znsl6652 https://www.mathnet.ru/eng/znsl/v473/p17
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Abstract page: | 78 | Full-text PDF : | 29 | References: | 16 |
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