Discrete soliton-like for KdV prototypes

In this paper we consider space and time discretization of KdV equation, that is, KdV prototypes by using finite difference discretization. The existence of discrete soliton-likes for the KdV prototypes is proved by anti-integrable limit method [S. Aubry, G. Abramovici, Physica D (1990) 199]. Some of their properties are discussed.