摘要
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.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2012年第2期424-432,共9页
Acta Mathematica Scientia
基金
国家自然科学基金(10926036
11026087
11001069
61003207)
浙江省教育厅科技项目(Y200906909
Y201017468)
浙江省自然科学基金(Y6090172
Y6100126
Y6100588)资助
关键词
超谱问题
可积分解
超AKNS方程.
Super spectral problem
Integrable decomposition
Super AKNS equation.
