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

Research output: Contribution to journal › Article › peer-review

102 Downloads (Pure)

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

Access to Document

10.1016/j.geomphys.2021.104271Licence: None: All rights reserved

bobrovai2021sigmaAccepted author manuscript, 274 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

Cite this

@article{8bd3b3121a0e44829a092525cb21db4e,

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.",

keywords = "Painlev{\'e} equations, Sigma forms, Sigma – coordinates",

author = "Irina Bobrova and Marta Mazzocco",

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.",

year = "2021",

month = aug,

doi = "10.1016/j.geomphys.2021.104271",

language = "English",

volume = "166",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier",

}

TY - JOUR

T1 - The sigma form of the second Painlevé hierarchy

AU - Bobrova, Irina

AU - Mazzocco, Marta

N1 - 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.

PY - 2021/8

Y1 - 2021/8

N2 - 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.

AB - 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.

KW - Painlevé equations

KW - Sigma forms

KW - Sigma – coordinates

UR - http://www.scopus.com/inward/record.url?scp=85105550730&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2021.104271

DO - 10.1016/j.geomphys.2021.104271

M3 - Article

SN - 0393-0440

VL - 166

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104271

ER -

The sigma form of the second Painlevé hierarchy

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this