On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
arXiv:1010.0361 · doi:10.3842/SIGMA.2010.092
Abstract
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 equation.