Ferapontov, Evgeny Novikov, Vladimir Roustemoglou, Ilia On the classification of discrete Hirota-type equations in 3D In the series of recent publications [15, 16, 18, 21] we have proposed a novel approach to the classification of integrable differential/difference equations in 3D based on the requirement that hydrodynamic reductions of the corresponding dispersionless limits are `inherited' by the dispersive equations. In this paper we extend this to the fully discrete case. Based on the method of deformations of hydrodynamic reductions, we classify 3D discrete integrable Hirota-type equations within various particularly interesting subclasses. Our method can be viewed as an alternative to the conventional multi-dimensional consistency approach. Discrete integrable systems in 3D;Dispersionless limit;Hydrodynamic reductions;Hirota-type equations;Mathematical Sciences not elsewhere classified 2016-02-05
    https://repository.lboro.ac.uk/articles/journal_contribution/On_the_classification_of_discrete_Hirota-type_equations_in_3D/9387296