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

Sergey Ya. Startsev
2010 Symmetry, Integrability and Geometry: Methods and Applications  
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.
doi:10.3842/sigma.2010.092 fatcat:l6hzw37q6vc4xahybyfaozizym