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TWO CLASSES OF INTEGRABLE COUPLING FOR AKNS HIERARCHY
Abstract:A set of new matrix Lie algebra is constructed, which is devoted to obtaining a new loop algebra A 2M . Then we use the idea of enlarging spectral problems to make an enlarged spectral problems. It follows that the multi-component AKNS hierarchy is presented. Further, two classes of integrable coupling of the AKNS hierarchy are obtained by enlarging spectral problems.
Keywords:integrable coupling  AKNS hierarchy  matrix loop algebra  
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