华东师范大学学报(自然科学版) ›› 2019, Vol. 2019 ›› Issue (2): 21-31.doi: 10.3969/j.issn.1000-5641.2019.02.003

• 数学 • 上一篇    下一篇

超HU方程族的自相容源及其守恒律

方芳, 胡贝贝   

  1. 滁州学院 数学与金融学院, 安徽 滁州 239000
  • 收稿日期:2017-12-24 出版日期:2019-03-25 发布日期:2019-03-27
  • 通讯作者: 胡贝贝,男,博士研究生,讲师,研究方向为孤立子与可积系统.E-mail:hubsquare@chzu.edu.cn E-mail:hubsquare@chzu.edu.cn
  • 作者简介:方芳,女,讲师,研究方向为孤立子与可积系统.E-mail:fangfang7679@163.com.
  • 基金资助:
    国家自然科学基金(11601055);安徽省自然科学研究项目(KJ2015B02);安徽省教育厅自然科学一般项目(KJ2017B10)

Conservation laws and self-consistent sources for a super-HU equation hierarchy

FANG Fang, HU Bei-bei   

  1. School of Mathematics and Finance, Chuzhou University, Chuzhou Anhui 239000, China
  • Received:2017-12-24 Online:2019-03-25 Published:2019-03-27

摘要: 基于超矩阵李代数和超迹恒等式,建立了超HU方程族.然后又构造了超HU方程族的带有自相容源方程.最后通过引入两个变量FG,获得了超HU方程族的无穷多个守恒律.

关键词: 超HU方程族, 自相容源, 守恒律

Abstract: In the present paper, a super-HU hierarchy was constructed based on super-matrix Lie algebra and super-trace identity. In addition, an integrable super-HU equation hierarchy with self-consistent sources was established. Finally, we set up infinitely many conservation laws for an integrable super-HU equation hierarchy by introducing two variables F and G.

Key words: super-HU hierarchy, self-consistent sources, conservation laws

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