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A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants

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Quantum Theory and Symmetries

Part of the book series: CRM Series in Mathematical Physics ((CRM))

Abstract

In this short note we present a novel integrable fourth-order difference equation. This equation is obtained as a stationary reduction from a known integrable differential-difference equation. The novelty of the equation is inferred from the number and shape of its invariants.

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Acknowledgements

We thank Dr. D. T. Tran for the helpful discussions during the preparation of this paper.

GG is supported through Prof. N. Joshi’s Australian Laureate Fellowship #FL120100094.

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Authors and Affiliations

  1. School of Mathematics and Statistics, The University of Sydney, Sydney, NSW, Australia

    Giorgio Gubbiotti

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  1. Giorgio Gubbiotti
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Correspondence to Giorgio Gubbiotti .

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Editors and Affiliations

  1. Département de physique, Université de Montréal, Montréal, QC, Canada

    M. B. Paranjape

  2. Département de physique, Université de Montréal, Montréal, QC, Canada

    Richard MacKenzie

  3. Department of Mathematics and Physics, SUNY Polytechnic Institute, Utica, NY, USA

    Zora Thomova

  4. Department of Mathematics and Statistics, Université de Montréal, Montréal, QC, Canada

    Pavel Winternitz

  5. Département de physique, Université de Montréal, Montréal, QC, Canada

    William Witczak-Krempa

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Gubbiotti, G. (2021). A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants. In: Paranjape, M.B., MacKenzie, R., Thomova, Z., Winternitz, P., Witczak-Krempa, W. (eds) Quantum Theory and Symmetries. CRM Series in Mathematical Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-55777-5_6

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