Multi-component super integrable Hamiltonian hierarchies

被引：3
|
作者：
Wang, Haifeng [1 ]
Zhang, Yufeng [2 ]
Li, Chuanzhong [3 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
[2] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2023年 / 456卷
基金：
中国国家自然科学基金;
关键词：
Lie superalgebra; Multi-component super integrable hierarchy; Super Hamiltonian structure; SUPERSYMMETRIC EXTENSION; EQUATION; COUPLINGS; SYSTEMS;
D O I：
10.1016/j.physd.2023.133918
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By constructing a new type of multi-component Lie superalgebra sl(2N,1), a method of generation of multi-component super integrable hierarchies is proposed. We discuss two applications and then obtain a coupled generalized super integrable Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and a multi-component generalized super integrable AKNS hierarchy respectively. Then, the super Hamiltonian structures of the resulting super integrable hierarchies are deduced by means of supertrace identity.
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页数：9
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