A Lax Formalism for the Elliptic Difference Painlevé Equation
A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on P¹ × P¹ and described in terms of the point configurations.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149164 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Lax Formalism for the Elliptic Difference Painlevé Equation / Y. Yamada // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862744170376986624 |
|---|---|
| author | Yamada, Y. |
| author_facet | Yamada, Y. |
| citation_txt | A Lax Formalism for the Elliptic Difference Painlevé Equation / Y. Yamada // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on P¹ × P¹ and described in terms of the point configurations.
|
| first_indexed | 2025-12-07T20:34:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149164 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:34:17Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Yamada, Y. 2019-02-19T17:53:05Z 2019-02-19T17:53:05Z 2009 A Lax Formalism for the Elliptic Difference Painlevé Equation / Y. Yamada // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 14 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 34A05; 14E07; 14H52 https://nasplib.isofts.kiev.ua/handle/123456789/149164 A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on P¹ × P¹ and described in terms of the point configurations. This paper is a contribution to the Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21–25, 2008, MPIM, Bonn, Germany). The idea of this work came from the study of the Pad´e approximation method to the Painlev´e equations [13], and it was partially presented at the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” [14]. The author would like to thank the organisers and participants for their interest. He also thank to Professors K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta, H. Sakai, M-H. Saito and S. Tsujimoto for discussions. The author would like to thank the referees for their valuable comments and suggestions. This work is supported by Grants-in-Aid for Scientific No.17340047. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Lax Formalism for the Elliptic Difference Painlevé Equation Article published earlier |
| spellingShingle | A Lax Formalism for the Elliptic Difference Painlevé Equation Yamada, Y. |
| title | A Lax Formalism for the Elliptic Difference Painlevé Equation |
| title_full | A Lax Formalism for the Elliptic Difference Painlevé Equation |
| title_fullStr | A Lax Formalism for the Elliptic Difference Painlevé Equation |
| title_full_unstemmed | A Lax Formalism for the Elliptic Difference Painlevé Equation |
| title_short | A Lax Formalism for the Elliptic Difference Painlevé Equation |
| title_sort | lax formalism for the elliptic difference painlevé equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149164 |
| work_keys_str_mv | AT yamaday alaxformalismfortheellipticdifferencepainleveequation AT yamaday laxformalismfortheellipticdifferencepainleveequation |