带有自相容源的屠族新可积耦合  

New Integrable Couplings of Tu Hierarchy with Self-consistent Sources

作　　者：夏铁成[1] 张登朋[1] 特木尔朝鲁[2] 

机构地区：[1]上海大学数学系,上海200444 [2]上海海事大学,上海200135

出　　处：《数学物理学报（A辑）》2012年第5期941-949,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(61072147;11071159);上海市和浙江省自然科学基金(09ZR1410800;Y6100791);上海市教委重点学科(J50101)资助

摘　　要：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.

关 键 词：带有自相容源的屠族 可积耦合 圈代数 

分 类 号：O175.29[理学—数学]