On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Author: Startsev, S.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146524
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Non-Point Invertible Transformations of Difference and Differential-Difference Equations / S. Ya. Startsev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 20 назв. — англ.

Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equ...