A construction scheme for explicit auto-transformations of integrable discrete-differential equations (chains) is presented. These transformations are rather convenient to obtain the exact solutions for chains as well as associated partial differential systems. On the other hand they exemplify new integrable discrete mappings. Their group properties are also of great interest. The scheme is illustrated by several examples of integrable systems which contains the nonlinear Schrodinger system and the Landau-Lifshits model.
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Adler et al. (1994) studied this question.
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