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

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...

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Bibliographic Details
Main Author: Sergey Ya. Startsev
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.092