An integrable couplings of G-WKI equations hierarchy with self-consistent sources

We present a kind of integrable couplings of soliton equations hierarchy with self-consistent sources by using the loop algebra sl̃(4). As an application, a new integrable couplings of the generalized Wadati–Konono–Ichikawa (G-WKI) equations hierarchy with self-consistent sources is derived through the enlarged loop algebra sl̃(4).