华东师范大学学报（自然科学版） >

2019 , Vol. 2019 >Issue 2: 21 - 31

DOI: https://doi.org/10.3969/j.issn.1000-5641.2019.02.003

数学

超HU方程族的自相容源及其守恒律

  • 方芳 ,
  • 胡贝贝
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  • 滁州学院 数学与金融学院, 安徽 滁州 239000
方芳,女,讲师,研究方向为孤立子与可积系统.E-mail:fangfang7679@163.com.

收稿日期: 2017-12-24

  网络出版日期: 2019-03-27

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）

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

  • FANG Fang ,
  • HU Bei-bei
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  • School of Mathematics and Finance, Chuzhou University, Chuzhou Anhui 239000, China

Received date: 2017-12-24

  Online published: 2019-03-27

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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F和G，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

本文引用格式

方芳 , 胡贝贝 . 超HU方程族的自相容源及其守恒律[J]. 华东师范大学学报（自然科学版）, 2019 , 2019(2) : 21 -31 . DOI: 10.3969/j.issn.1000-5641.2019.02.003

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

参考文献

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