吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

Li谱问题的超化及其自相容源

胡贝贝, 张玲, 方芳   

  1. 滁州学院 数学与金融学院, 安徽 滁州 239000
  • 收稿日期:2014-07-02 出版日期:2015-03-26 发布日期:2015-03-24
  • 通讯作者: 张玲 E-mail:originzhang@126.com

SuperLi Spectrum Problems and Its Selfconsistent Source

HU Beibei, ZHANG Ling, FANG Fang   

  1. School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, Anhui Province, China
  • Received:2014-07-02 Online:2015-03-26 Published:2015-03-24
  • Contact: ZHANG Ling E-mail:originzhang@126.com

摘要:

基于Loop Lie超代数和超迹恒等式先构造超Li方程族, 并给出超Hamilton结构; 再构造带自相容源超Li方程族, 并通过引入变量F和G构造超Li方程族的守恒律.

关键词: 超Li系统, 自相容源, 守恒律

Abstract:

The super Li hierarchy and its super Hamiltonian structure were established based on a loop super Lie algebra and trace identity. Then the super Li system with selfconsistent sources was constructed.  Furthermore, conservation laws for the super Li system were given with the help of two introduced variables.

Key words: super Li hierarchy, selfconsistent sources, conservation laws

中图分类号: 

  • O175.29