Bilinear Identities and Squared Eigenfunction Symmetries of the BCr-KP Hierarchy

被引:9
|
作者
Geng, Lumin [1 ]
Chen, Huizhan [1 ]
Li, Na [1 ]
Cheng, Jipeng [1 ]
机构
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
基金
中国博士后科学基金;
关键词
the BCr-KP hierarchy; the constrained BCr-KP hierarchy; bilinear identities; squared eigenfunction symmetries; SOLITON-EQUATIONS; TRANSFORMATION;
D O I
10.1080/14029251.2019.1613049
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The BCr-KP hierarchy is an important sub hierarchy of the KP hierarchy, which includes the BKP and CKP hierarchies as the special cases. Some properties of the BCr-KP hierarchy and its constrained case are investigated in this paper, including bilinear identities and squared eigenfunction symmetries. We firstly discuss the bilinear identities of the BCr-KP hierarchy, and then generalize them into the constrained case. Next, we investigate the squared eigenfunction symmetries for the BCr-KP hierarchy and its constrained case, and also the connections with the additional symmetries. It is found that the constrained BCr-KP hierarchy can be defined by identifying the time flow with the squared eigenfunction symmetries.
引用
收藏
页码:404 / 419
页数:16
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