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

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

10.3842/SIGMA.2010.092

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.

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