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

被引：10

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

引用

页数：14

共 23 条

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