带有自相容源的屠族新可积耦合

New Integrable Couplings of Tu Hierarchy with Self-consistent Sources

首次提出了一个新谱问题,然后推导了这个可积的孤子族.同样获得了联系着圈代数sl(4)带有自相容源屠族新可积耦合.指出和改正了于发军论文的一些错误并建立了新的公式.这些公式可以直接用来计算新的带有自相容源可积耦合.所用方法可以推广到其它带有自相容源的新可积系统.

A new isospectral problem is firstly presented, then we derive an integrable system of soliton hierarchy. Also we obtain new integrable couplings of Tu soliton equations hierarchy with self-consistent sources associated with loop algebra sl（4）. In this paper, we also point out that there exist some errors in Yu＇s paper and correct these errors and set up a new formula. The method can be generalized to other soliton hierarchy with self-consistent sources.