A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with sl˜(4)

A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with sl˜(4) is presented. As an application example, the hierarchy of Yang equations with self-consistent sources is derived. Furthermore, we construct an integrable couplings of the Yang soliton hierarchy with self-consistent sources by using of the loop algebra sl˜(4).