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A multidimensionally consistent generalisation of Hirota's discrete KdVequation is proposed, it is a quad equation defined by a polynomial that isquadratic in each variable. Soliton solutions and interpretation of the modelas superposition principle are given. It is discussed how an important propertyof the defining polynomial, a factorisation of discriminants, appears also inthe few other known discrete integrable multi-quadratic models.

A multidimensionally consistent version of Hirota's discrete KdV equation