On a two-parameter extension of the lattice KdV system associated with   an elliptic curve
  A general structure is developed from which a system of integrable partial difference equations is derived generalising the lattice KdV equation. The construction is based on an infinite matrix scheme with as key ingredient a (formal) elliptic Cauchy kernel. The consistency and integrability of the lattice system is discussed as well as special solutions and associated continuum equations. 
Frank W. Nijhoff and Sian Puttock