Abstract
We present a kind of integrable couplings of soliton equations hierarchy with self-consistent sources by using the loop algebra s l ̃ ( 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 s l ̃ ( 4 ) .
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