| 两类超Tu族的自相容源和守恒律 |
| |
| 引用本文： | 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(中文版),2013,34(5):531-544. |
| |
| 作者姓名： | 魏含玉 夏铁成 |
| |
| 作者单位： | 周口师范学院数学与信息科学系, 河南 周口 466001; 上海大学数学系, 上海 200444.;上海大学数学系, 上海 200444. |
| |
| 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) |
| |
| 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.
|
| 关 键 词： | 超迹恒等式 自相容源 守恒律 费米变量 |
Self-consistent Sources and Conservation Laws for Two Types Super-Tu Equation
Hierarchy |
| |
| WEI Hanyu and XIA Tiecheng.Self-consistent Sources and Conservation Laws for Two Types Super-Tu Equation
Hierarchy[J].Chinese Annals of Mathematics,2013,34(5):531-544. |
| |
| Authors: | WEI Hanyu and XIA Tiecheng |
| |
| Institution: | Department of
Mathematics and Information Science, Zhoukou Normal University,
Zhoukou 466001, Henan, China; Department of Mathematics, Shanghai University,
Shanghai 200444, China.;Department of Mathematics, Shanghai University,
Shanghai 200444, China. |
| |
| Abstract: | 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. |
| |
| Keywords: | Supertrace identities Self-consistent sources Conservation laws Fermi variables |
|
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
|
