Abstract
A set of multi-component matrix Lie algebra is constructed.It follows that a type of new loop algebra ÃM-1 is presented.An isospectral problem is established. Integrable multi-component hierarchy isobtained by Tu pattern, which possesses tri-Hamiltonian structures.Furthermore, it can be reduced to the well-known AKNS hierarchy andBPT hierarchy. Therefore, the major result of this paper canbe regarded as a unified expression integrable model of theAKNS hierarchy and the BPT hierarchy.
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