| 魏含玉,夏铁成.两类超Tu族的自相容源和守恒律[J].数学年刊A辑,2013,34(5):531~544 |
| 两类超Tu族的自相容源和守恒律 |
| Self-consistent Sources and Conservation Laws for Two Types Super-Tu EquationHierarchy |
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| DOI： |
| 中文关键词: 超迹恒等式, 自相容源, 守恒律, 费米变量 |
| 英文关键词:Supertrace identities, Self-consistent sources, Conservation laws,
Fermi variables |
| 基金项目:国家自然科学基金 (No.11271008, No.61072147, No.11071159), 上海市教委重点学科 (No.J50101)和上海大学重点学科 (No.A13-0101-12-004) |
| Author Name | Affiliation | E-mail | | WEI Hanyu | Department of
Mathematics and Information Science, Zhoukou Normal University,
Zhoukou 466001, Henan, China
Department of Mathematics, Shanghai University,
Shanghai 200444, China. | weihanyu8207@163.com | | XIA Tiecheng | Department of Mathematics, Shanghai University,
Shanghai 200444, China. | xiatc@yahoo.com.cn |
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| 中文摘要: |
| 基于两类不同的Lie超代数和超迹恒等式, 建立了两类超可积Tu族的自相容源方程. 另外, 还建立了两类超可积Tu族的无穷守恒律.
特别地, 费米变量在超可积系统里面起了重要作用, 它不同于一般的可积系统. |
| 英文摘要: |
| Based on two different Lie super algebras and supertrace identities, the two
types of super-integrable Tu-hierarchy with self-consistent sources are established. Furthermore,
the authors establish the infinitely many conservation laws for the two types of
super-integrable Tu-hierarchy. Especially, the Fermi variables play important roles in super
integrable systems which are different from the ordinary integrable systems. |
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