The sigma form of the second Painlevé hierarchy

Irina Bobrova; Marta Mazzocco

doi:10.1016/j.geomphys.2021.104271

The sigma form of the second Painlevé hierarchy

Irina Bobrova, Marta Mazzocco

Mathematics

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Abstract

In this paper we study the so-called sigma form of the second Painlevé hierarchy. To obtain this form, we use some properties of the Hamiltonian structure of the second Painlevé hierarchy and of the Lenard operator.

Original language	English
Article number	104271
Number of pages	8
Journal	Journal of Geometry and Physics
Volume	166
Early online date	7 May 2021
DOIs	https://doi.org/10.1016/j.geomphys.2021.104271
Publication status	Published - Aug 2021

Bibliographical note

Funding Information:
Acknowledgments. The authors would like to express their gratitude to Volodya Rubtsov for introducing them to each other. The authors are also grateful to Vladimir Poberezhnyi, who initiated I.B. to the Painlev? equations theory and constantly supported her during her scientific work. The research of I.B. is a part of her PhD program studies at the Higher School of Economics (HSE University). I.B. would like to thank to Faculty of Mathematics for giving her such opportunity. The research of M.M. is supported by the EPSRC Research Grant EP/P021913/1. The research of I.B. was partially supported by the RFBR Grant 18-01-00461 A.

Keywords

Painlevé equations
Sigma forms
Sigma – coordinates

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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title = "The sigma form of the second Painlev{\'e} hierarchy",

abstract = "In this paper we study the so-called sigma form of the second Painlev{\'e} hierarchy. To obtain this form, we use some properties of the Hamiltonian structure of the second Painlev{\'e} hierarchy and of the Lenard operator.",

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KW - Sigma – coordinates

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The sigma form of the second Painlevé hierarchy

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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