Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• Main Authors: Levi, Decio, Rodríguez, Miguel A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212047
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane. Decio Levi and Miguel A. Rodríguez. SIGMA 19 (2023), 084, 7 pages

Determining if an (1+1)-differential-difference equation is integrable or not (in the sense of possessing an infinite number of symmetries) can be reduced to the study of the dependence of the equation on the lattice points, according to Yamilov's theorem. We shall apply this result to a class...