Integrable couplings of C-KdV equations hierarchy with self-consistent sources associated with sl˜(4)

We present a kind of integrable couplings of soliton equations hierarchy with self-consistent sources by using of loop algebra sl˜(4). As an application, a hierarchy of C-KdV equations with self-consistent sources is derived through loop algebra sl˜(2). Furthermore, we construct a new integrable couplings of the C-KdV soliton hierarchy with self-consistent sources by using of the enlarged loop algebra sl˜(4).