带有自相容源的屠族新可积耦合

数学物理学报 ›› 2012, Vol. 32 ›› Issue (5): 941-949.

带有自相容源的屠族新可积耦合

夏铁成¹|张登朋¹|特木尔朝鲁²

1.上海大学数学系上海 200444；2.上海海事大学上海 200135

收稿日期:2010-12-21 修回日期:2012-05-15 出版日期:2012-10-25 发布日期:2012-10-25
基金资助:
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)和上海市教委重点学科(J50101)资助

New Integrable Couplings of Tu Hierarchy with Self-consistent Sources

XIA Tie-Cheng¹, ZHANG Deng-Peng¹|TEMUER Chao-Lu²

1.Department of Mathematics, Shanghai University, Shanghai 200444；2.Department of Mathematics, Shanghai Maritime University, Shanghai 200135

Received:2010-12-21 Revised:2012-05-15 Online:2012-10-25 Published:2012-10-25
Supported by:
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)和上海市教委重点学科(J50101)资助

摘要/Abstract

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$\tilde{sl}(4)$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.

关键词: 带有自相容源的屠族, 可积耦合, 圈代数

Abstract:

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.

Key words: Tu hierarchy with self-consistent sources, Integrable couplings, Loop algebra

中图分类号:

35Q51

夏铁成, 张登朋, 特木尔朝鲁. 带有自相容源的屠族新可积耦合[J]. 数学物理学报, 2012, 32(5): 941-949.

XIA Tie-Cheng, ZHANG Deng-Peng, TEMUER Chao-Lu. New Integrable Couplings of Tu Hierarchy with Self-consistent Sources[J]. Acta mathematica scientia,Series A, 2012, 32(5): 941-949.

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