超Guo 族的自相容源和守恒律

数学物理学报 ›› 2013, Vol. 33 ›› Issue (6): 1133-1141.

超Guo 族的自相容源和守恒律

魏含玉^1,2|夏铁成²

1.周口师范学院数学与信息科学系河南周口 466001|
2.上海大学数学系上海 200444

收稿日期:2012-02-23 修回日期:2013-04-08 出版日期:2013-12-25 发布日期:2013-12-25
基金资助:
国家自然科学基金 (11271008, 61072147, 11071159)、上海市教委重点学科 (J50101)和上海大学重点学科 (A.13-0101-12-004)资助

Conservation Laws and Self-Consistent Sources for a Super-Guo Equation Hierarchy

WEI Han-Yu^1,2, XIA Tie-Cheng²

1.Department of Mathematics and Information Science, Zhoukou Normal University, Henan Zhoukou 466001|
2.Department of Mathematics, Shanghai University, Shanghai 200444

Received:2012-02-23 Revised:2013-04-08 Online:2013-12-25 Published:2013-12-25
Supported by:
国家自然科学基金 (11271008, 61072147, 11071159)、上海市教委重点学科 (J50101)和上海大学重点学科 (A.13-0101-12-004)资助

摘要/Abstract

摘要：

基于超矩阵Lie代数和超迹恒等式, 建立了超Guo族的带有自相容源方程, 还给出了超Guo族的无限守恒律. 其中费米变量在超可积系统的计算过程中起了重要作用.

关键词: 自相容源, 守恒律, 超Guo族, 费米变量

Abstract:

Based on the super-matrix Lie algebras and supertrace identity, the integrable super-Guo hierarchy with self-consistent is established. Furthermore, we set up the infinitely many conservation laws for the integrable super-Guo hierarchy.
Especially, in the process of computation, Fermi variables also play an important role in super integrable systems.

Key words: Self-consistent sources, Conservation laws, Super-Guo hierarchy, Fermi variable

中图分类号:

35Q51

魏含玉, 夏铁成. 超Guo 族的自相容源和守恒律[J]. 数学物理学报, 2013, 33(6): 1133-1141.

WEI Han-Yu, XIA Tie-Cheng. Conservation Laws and Self-Consistent Sources for a Super-Guo Equation Hierarchy[J]. Acta mathematica scientia,Series A, 2013, 33(6): 1133-1141.

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