2+1 dimensional nonisospectral super integrable hierarchies associated with a class of extended Lie superalgebras

被引：5
作者：
Wang, Haifeng [1 ]
He, Baiying [2 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 171卷
关键词：
Lie superalgebra; 2+1 dimensional nonisospectral; super-integrable hierarchies; Super Hamiltonian structure; SUPERSYMMETRIC EXTENSION; HAMILTONIAN-STRUCTURE; TRACE IDENTITY; EQUATION; SYSTEMS; REDUCTIONS; SCHEME;
D O I：
10.1016/j.chaos.2023.113443
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on a class of extended Lie superalgebras that we constructed, we present a method for generating 2+1 dimensional nonisospectral super integrable hierarchies. By considering some applications, we derive three kinds of 2+1 dimensional nonisospectral super Dirac integrable hierarchies and AKNS integrable hierarchies. Moreover, super Hamiltonian structures of these 2+1 dimensional super integrable hierarchies are obtained.
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页数：12
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