A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy

An isospectral problem is established by means of a sub-algebra of Loop Lie algebra \tildeA_1, from which the coupled AKNS-Kaup-Newell soliton hierarchy is derived. Subsequently, the integrable expending model i.e. integrable coupling is constructed through enlarging the corresponding Loop algebra into \tildeA_2.