一个新的可积广义超孤子族及其自相容源、守恒律

数学物理学报 ›› 2020, Vol. 40 ›› Issue (1): 187-199.

一个新的可积广义超孤子族及其自相容源、守恒律

魏含玉^1,*(),夏铁成²,胡贝贝³,张燕¹

¹ 周口师范学院数学与统计学院河南周口 466001
² 上海大学数学系上海 200444
³ 滁州学院数学与金融学院安徽滁州 239000

收稿日期:2018-10-11 出版日期:2020-02-26 发布日期:2020-04-08
通讯作者: 魏含玉 E-mail:weihanyu8207@163.com
基金资助:
国家自然科学基金项目(11547175);河南省高等学校青年骨干教师培养计划项目(2017GGJS145);安徽省高校优秀人才基金(gxyq2019096);安徽省高校自然科学研究项目(KJ2019A0637)

A New Integrable Generalization of Super Soliton Hierarchy and Its Self-Consistent Sources and Conservation Laws

Hanyu Wei^1,*(),Tiecheng Xia²,Beibei Hu³,Yan Zhang¹

¹ College of Mathematics and Statistics, Zhoukou Normal University, Henan Zhoukou 466001
² Department of Mathematics, Shanghai University, Shanghai 200444
³ School of Mathematics and Finance, Chuzhou University, Anhui Chuzhou 239000

Received:2018-10-11 Online:2020-02-26 Published:2020-04-08
Contact: Hanyu Wei E-mail:weihanyu8207@163.com
Supported by:
the NSFC(11547175);the Aid Project for the Mainstay Young Teachers in Henan Provincial Institutions of Higher Education of China(2017GGJS145);the University Excellent Talent Fund of Anhui Province(gxyq2019096);the Natural Science Research Projects in Colleges and Universities of Anhui Province(KJ2019A0637)

摘要/Abstract

摘要：

该文利用Lie超代数B（0，1）导出一个新的广义超孤子族，借助超迹恒等式将广义超孤子族写成超双-Hamilton结构形式.其次，建立了广义超孤子族的自相容源.最后，给出了广义超孤子族的无穷守恒律.

关键词: 超迹恒等式, 超Hamilton结构, 自相容源, 守恒律

Abstract:

Based on a Lie super algebra B(0, 1), a new generalized super soliton hierarchy is obtained. By making use of the super trace identity, the resulting super soliton hierarchy can be put into a super bi-Hamiltonian form. Then, the self-consistent sources of the generalized super soliton hierarchy is established. Furthermore, we present the infinitely many conservation laws for the integrable super soliton hierarchy.

Key words: Super trace identity, Super Hamiltonian structures, Self-consistent sources, Conservation laws

中图分类号:

O175.29

魏含玉,夏铁成,胡贝贝,张燕. 一个新的可积广义超孤子族及其自相容源、守恒律[J]. 数学物理学报, 2020, 40(1): 187-199.

Hanyu Wei,Tiecheng Xia,Beibei Hu,Yan Zhang. A New Integrable Generalization of Super Soliton Hierarchy and Its Self-Consistent Sources and Conservation Laws[J]. Acta mathematica scientia,Series A, 2020, 40(1): 187-199.

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