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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2009 Volume 5, 042, 15 pp. (Mi sigma388)
This article is cited in 23 papers

A Lax Formalism for the Elliptic Difference Painlevé Equation

Yasuhiko Yamada

Department of Mathematics, Faculty of Science, Kobe University, Hyogo 657-8501, Japan

Abstract: A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on $\mathbb P^1\times\mathbb P^1$ and described in terms of the point configurations.

Keywords: elliptic Painlevé equation; Lax formalism; algebraic curves.

MSC: 34A05; 14E07; 14H52

Received: November 20, 2008; in final form March 25, 2009; Published online April 8, 2009

Language: English

DOI: 10.3842/SIGMA.2009.042



Bibliographic databases:
ArXiv: 0811.1796

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