该文介绍从3×3矩阵形式超谱问题出发,构造新高阶矩阵形式超谱问题的方法.以超AKNS方程为例,作者构造了5×5矩阵形式的超AKNS谱问题并且运用双非线性化方法,给出了超AKNS方程的新约束,得到该约束下超AKNS方程新的可积分解.
In this paper, the approach to construct higher super matrix spectral problems from a 3×3 super matrix spectral problem is presented. As an example, we construct a 5×5 super spectral problem which is associated with the super AKNS equation from the 3×3 super AKNS spectral problem, by use of the binary nonlinearization method, new constraint of super AKNS equation is obtained. The corresponding new integrable decomposition of the super AKNS equation is presented also.