A Lax Formalism for the Elliptic Difference Painlevé Equation

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dc.contributor.authorYamada, Y.
dc.date.accessioned2019-02-19T17:53:05Z
dc.date.available2019-02-19T17:53:05Z
dc.date.issued2009
dc.description.abstractA 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.uk_UA
dc.description.sponsorshipThis 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.uk_UA
dc.identifier.citationA Lax Formalism for the Elliptic Difference Painlevé Equation / Y. Yamada // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 14 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 34A05; 14E07; 14H52
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149164
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Lax Formalism for the Elliptic Difference Painlevé Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік