A class of expanding integrable system for generalized Schrdinger hierarchy

A subalgerbra A-1,which is equivalent to the subalgebra of the Loop algebra A-2 in(4),is constructed by making use of algebraic transformation,and then a high-dimensional Loop alegebra G-is presented in terms of A-1.An isospectral problem is established following G-by using direct sum operators and isomorphic relations among subalgebras.It is concluded that a class of expanding integrable system for generalized Schrdinger hierarchy of evolution equations is obtained.As in reduction cases,the integrable coupling of the famous generalized Schrdinger e-quation is presented.