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On the identity of two q-discrete Painlevé equations and their geometrical derivation

Advances in Difference Equations volume 2006, Article number: 036397 (2006) Cite this article

Abstract

We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups.

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Authors and Affiliations

  1. GMPIB, Université Paris VII, Tour 24-14, 5e étage, Paris, 75251, France

    B Grammaticos

  2. CPT, Ecole Polytechnique, CNRS, UMR 7644, Palaiseau, 91128, France

    A Ramani

  3. Faculty of Marine Technology, Tokyo University of Marine Science and Technology, 2-1-6 Etchu-jima, Koto-ku, Tokyo, 135-8533, Japan

    T Takenawa

Authors
  1. B Grammaticos
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  2. A Ramani
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  3. T Takenawa
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Correspondence to B Grammaticos.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Grammaticos, B., Ramani, A. & Takenawa, T. On the identity of two q-discrete Painlevé equations and their geometrical derivation. Adv Differ Equ 2006, 036397 (2006). https://doi.org/10.1155/ADE/2006/36397

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  • DOI: https://doi.org/10.1155/ADE/2006/36397

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