摘要
我们为概括 soliton 方程层次的 integrable couplings，前後一致的来源与 l (4 ) 联系了建议一个系统的方法。与前後一致的来源一起的 JM 方程层次被导出。而且，与前後一致的来源一起的 JM soliton 层次的 integrable couplings 被环代数学 l (4 ) 使用介绍。
We propose a systematic method for generalizing the integrable couplings of soliton eqhations hierarchy with self-consistent sources associated with s/（4）. The JM equations hierarchy with self-consistent sources is derived. Furthermore, an integrable couplings of the JM soliton hierarchy with self-consistent sources is presented by using of the loop algebra sl（4）.
基金
Supported by the Research Work of Liaoning Provincial Development of Education under Grant No,2008670
关键词
耦合系统
方程族
自洽
层次结构
循环代数
JM equations hierarchy, self-consistent sources, integrable couplings
