On the integrability of a discrete analogue of the Kaup-Kupershmidt   equation
  We study a new example of equation obtained as a result of a recent generalized symmetry classification of differential-difference equations defined on five points of one-dimensional lattice. We have established that in the continuous limit this new equation goes into the well-known Kaup-Kupershmidt equation. We have also proved its integrability by constructing an $L-A$ pair and conservation laws. Moreover, we present a possibly new scheme for deriving conservation laws from $L-A$ pairs. 
R.N. Garifullin, R.I. Yamilov
nlin.SI math-ph math.DS math.MP