CAJ | 학술논문

利用代数变换，构造了与文献[4]中的Loop代数A2的子代数等价的Loop代数A1的一个子代数A1。再将A1扩展为一个高维的Loop代数G，利用G设计了一个等谱问题，结合子代数间直和运算和同构关系，得到了广义Schroedinger方程族的一类扩展可积系统。作为约化情形，求得了著名的广义Schroedinger方程的可积耦合系统。
이용대수변환，구조료여문헌[4]중적Loop대수A2적자대수등개적Loop대수A1적일개자대수A1。재장A1확전위일개고유적Loop대수G，이용G설계료일개등보문제，결합자대수간직화운산화동구관계，득도료엄의Schroedinger방정족적일류확전가적계통。작위약화정형，구득료저명적엄의Schroedinger방정적가적우합계통。
A subalgerbra A 1,which is equivalent to the subalgebra of the Loop algebra A2 in [4], is constructed by making use of algebraic transformation, and then a high - dimensional Loop alegebra G is presented in terms of A1. 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 Schrodinger hierarchy of evolution equations is obtained. As in reduction cases, the integrable coupling of the famous generalized Schroedinger e -quation is presented.