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Classification of discrete integrable equations of Hirota type

Adler, V (Landau Institute)
Monday 30 March 2009, 14:15-15:00



One of possible de nitions of integrability of discrete equations is based on the notion of multidimensional consistency. We apply this approach for classification of integrable 3-dimensional equations of Hirota, or discrete KP-type. It is proven, under rather general and natural assumptions, that the list of such equations is exhausted by Hirota equation itself and its three modi cations.


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