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Book Chapter

Continuous, Discrete and Ultradiscrete Painlevé Equations

  • Nakazono N
  • Shi Y
  • Kanki M
Springer International Publishing, (2017), 1-41
DOI: 10.1007/978-3-319-56666-5_1
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Abstract

We give an introductory lecture on the theory of Painlevé equations, which are one of the most important objects in the theory of integrable systems, and their discrete counterparts. The lecture is divided into three parts: the Painlevé equations, discrete Painlevé equations and ultradiscrete Painlevé equations.

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Nakazono, N., Shi, Y., & Kanki, M. (2017). Continuous, Discrete and Ultradiscrete Painlevé Equations. In Symmetries and Integrability of Difference Equations (pp. 1–41). Springer International Publishing. https://doi.org/10.1007/978-3-319-56666-5_1

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