分数阶超Broer-Kaup-Kupershmidt族及其非线性可积耦合（英文）  

The Fractional Super Broer-Kaup-Kupershmidt Hierarchy and its Nonlinear Integrable Couplings

作　　者：魏含玉[1] 罗林[1] 夏铁成[2] WEI Han-yu;LUO Lin;XIA Tie-cheng(College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001;Department of Mathematics, Shanghai University, Shanghai 200444)

机构地区：[1]周口师范学院数学与统计学院,周口466001 [2]上海大学数学系,上海200444

出　　处：《工程数学学报》2016年第4期428-440,共13页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(11547175,11271008,11501526);the Key Scientific Research Projects of Henan Province(16A110026)

摘　　要：基于超代数上的分数阶超迹恒等式,我们得到了分数阶超Broer-Kaup-Kupershmidt族及其超Hamilton结构,并且给出了分数阶超Broer-Kaup-Kupershmidt族的非线性可积耦合.本文的方法还可以应用于其它的分数阶超孤子族.Based on the fractional supertrace identity on superalgebras, we derive the fractional super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures.Then, we present a nonlinear super integrable Hamiltonian couplings for the fractional super Broer-Kaup-Kupershmidt hierarchy. The proposed method can be generalized to other fractional super hierarchies.

关 键 词：分数阶超迹恒等式 超Broer-Kaup-Kupershmidt族 超Hamilton结构 非线性可积耦合 

分 类 号：O175.29[理学—数学]