Classification of multilinear real quadratic partial difference equations linearizable by point and Hopf-Cole transformations

""We use the conditions of linearizability by point and by Hopf–Cole transformations, introduced recently by the authors, to classify all real multilinear equations on a square lattice with at most quadratic nonlinearity. We find that, up to a linear transformation of the dependent variable and an exchange of the independent variables, only two equations in this class are linearizable by point transformations and none by Hopf–Cole transformations.""