Five autonomous integrable partial difference equations admit special solutions given by non-autonomous ordinary difference equations from Bäcklund transformations of Painlevé III, VI, and the two-variable Garnier system.
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Special solutions to five autonomous integrable partial difference equations via the third and sixth Painlev\'e equations and the Garnier system in two variables
Five autonomous integrable partial difference equations admit special solutions given by non-autonomous ordinary difference equations from Bäcklund transformations of Painlevé III, VI, and the two-variable Garnier system.