  Integrable spin systems are an important subclass of integrable (soliton)
nonlinear equations. They play important role in physics and mathematics. At
present, many integrable spin systems were found and studied. They are related
with the motion of 3-dimensional curves. In this paper, we consider a model of
two moving interacting curves. Next, we find its integrable reduction related
with some integrable coupled spin system. Then we show that this integrable
coupled spin system is equivalent to the famous Manakov system.
