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A Lax Formalism for the Elliptic Difference Painlevé Equation
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік
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A Lax Formalism for the Elliptic Difference Painlevé Equation
Інший ID:
2000 Mathematics Subject Classification: 34A05; 14E07; 14H52
Посилання:
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.
Підтримка:
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.
Дата:
2009
Переглядів:
474
Завантажень:
238
Анотація:
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.
