Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Authors: Gubbiotti, G., Scimiterna, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209460
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation / G. Gubbiotti, C. Scimiterna // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 63 назв. — англ.

In this paper, we construct a non-autonomous version of the Hietarinta equation [Hietarinta J., J. Phys. A: Math. Gen. 37 (2004), L67-L73] and study its integrability properties. We show that this equation possess linear growth of the degrees of iterates, generalized symmetries depending on arbitrar...