一个新的可积广义超孤子族及其自相容源、守恒律  

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

作　　者：魏含玉 夏铁成[2] 胡贝贝 张燕 Wei Hanyu;Xia Tiecheng;Hu Beibei;Zhang Yan(College of Mathematics and Statistics,Zhoukou Normal University,Henan Zhoukou 466001;Department of Mathematics,Shanghai University,Shanghai 200444;School of Mathematics and Finance,Chuzhou University,Anhui Chuzhou 239000)

机构地区：[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

出　　处：《数学物理学报（A辑）》2020年第1期187-199,共13页Acta Mathematica Scientia

基　　金：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)。

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.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.

关 键 词：超迹恒等式 超Hamilton结构 自相容源 守恒律 

分 类 号：O175.29[理学—数学]