On discrete integrable equations of higher order
classification
🌊 nlin.SI
math-phmath.MP
keywords
equationsdiscreteintegrableorderrespecttypeacklund--darbouxanother
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We study 2D discrete integrable equations of order 1 with respect to one independent variable and $m$ with respect to another one. A generalization of the multidimensional consistency property is proposed for this type of equations. The examples are related to the B\"acklund--Darboux transformations for the lattice equations of Bogoyavlensky type.
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