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

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An isospectral problem is established by means of a sub-algebra of loop Lie algebra (A)1, from which the coupled AKNS-Kaup-Newell soliton hierarchy is derived. Subsequently, the integrable expanding model, i.e. integrable coupling,is constructed through enlarging the corresponding loop algebra into the loop Lie algebra (A)2.
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