Multi-component super integrable Hamiltonian hierarchies

被引：5

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.

引用

页数：9

共 50 条

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[2]

ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249

[3]

ADLER M, 1979, INVENT MATH, V50, P219

[4] DOUBLE SCALING LIMIT OF THE SUPER-VIRASORO CONSTRAINTS [J].