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.
A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants / G. Gubbiotti (CRM PROCEEDINGS & LECTURE NOTES). - In: Quantum Theory and Symmetries / [a cura di] M.B. Paranjape, R. MacKenzie, Z. Thomova, P. Winternitz, W. Witczak-Krempa. - Prima edizione. - [s.l] : Springer Nature, 2021. - ISBN 978-3-030-55776-8. - pp. 67-75 (( Intervento presentato al 11. convegno International Symposium tenutosi a Montreal nel 2021 [10.1007/978-3-030-55777-5_6].
A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants
G. Gubbiotti
2021
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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