Variations for Some Painlevé Equations

This paper first discusses the irreducibility of a Painlevé equation 𝘗. We explain how the Painlevé property is helpful for the computation of special classical and algebraic solutions. As in a paper of Morales-Ruiz, we associate an autonomous Hamiltonian ℍ to a Painlevé equation 𝘗. Complete integra...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2019
Main Authors: Acosta-Humánez, P.B., van der Put, M., Top, J.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210300
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Variations for Some Painlevé Equations / P.B. Acosta-Humánez, M. van der Put, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 32 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine