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This article is cited in 23 scientific papers (total 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.
Received: November 20, 2008; in final form March 25, 2009; Published online April 8, 2009
Citation:
Yasuhiko Yamada, “A Lax Formalism for the Elliptic Difference Painlevé Equation”, SIGMA, 5 (2009), 042, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma388 https://www.mathnet.ru/eng/sigma/v5/p42
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Abstract page: | 261 | Full-text PDF : | 89 | References: | 42 |
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