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On Non-Point Invertible Transformations of Difference and Differential-Difference EquationsKeywords: non-point transformation , Darboux integrability , discrete Liouville equation , higher symmetry 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.
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