Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Nakazono, Nobutaka
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211636
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property. Nobutaka Nakazono. SIGMA 18 (2022), 032, 8 pages

The lattice sine-Gordon equation is an integrable partial difference equation on ℤ², which approaches the sine-Gordon equation in a continuum limit. In this paper, we show that the non-autonomous lattice sine-Gordon equation has the consistency around a broken cube property, as well as its autonomou...