  Generalized lattice Heisenberg magnet model is an integrable model exhibiting
soliton solutions. The model is physically important for describing the magnon
bound states (or soliton excitations) with arbitrary spin, in magnetic
materials. In this paper, a time-discrete generalized lattice Heisenberg magnet
(GLHM) model is investigated. By writing down the Lax pair representation of
the time-discrete GLHM model, we present explicitly the underlying integrable
structure like, the Darboux transformation and soliton solutions.
