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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 042, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.042
(Mi sigma388)
 

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
References:
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
Bibliographic databases:
Document Type: Article
MSC: 34A05; 14E07; 14H52
Language: English
Citation: Yasuhiko Yamada, “A Lax Formalism for the Elliptic Difference Painlevé Equation”, SIGMA, 5 (2009), 042, 15 pp.
Citation in format AMSBIB
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\by Yasuhiko Yamada
\paper A~Lax Formalism for the Elliptic Difference Painlev\'e Equation
\jour SIGMA
\yr 2009
\vol 5
\papernumber 042
\totalpages 15
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\crossref{https://doi.org/10.3842/SIGMA.2009.042}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896058613}
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  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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