Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies

被引：9
|
作者：
Li, Chuanzhong [1 ,2 ]
Shi, Qingling [2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 09期
基金：
中国国家自然科学基金;
关键词：
ADDITIONAL SYMMETRIES; TRANSFORMATION GROUPS; BKP HIERARCHY; REPRESENTATION; EQUATIONS;
D O I：
10.1063/5.0057096
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this article, we give the definition and additional symmetries of the multi-component supersymmetric Kadomtsev-Petviashvili (KP) (MSKP) hierarchy, the multi-component supersymmetric B type KP hierarchy, and the multi-component supersymmetric C type KP hierarchy. The additional flows of the MSKP hierarchy constitute circle times SW1+infinity; Lie algebra. Due to the B and C [B(C)] type reduction of the multi-component supersymmetric B and C type KP hierarchies, these additional flows form the B(C) type circle times SW1+infinity; Lie algebra. Published under an exclusive license by AIP Publishing
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页数：14
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