Bilinear Equation and Additional Symmetries for an Extension of the Kadomtsev-Petviashvili Hierarchy

被引：2
|
作者：
Lu, Jiaping [1 ]
Wu, Chao-Zhong [1 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2021年 / 24卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Kadomtsev-Petviashvili hierarchy; Baker-Akhiezer function; Additional symmetry; CONSTRAINED KP HIERARCHIES;
D O I：
10.1007/s11040-021-09401-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An extension of the Kadomtsev-Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in Szablikowski and Blaszak (J. Math. Phys. 49(8), 082701, 20, 2008) and Wu and Zhou (J. Geom. Phys. 106, 327-341, 2016). In this paper, we represent the extended KP hierarchy into the form of bilinear equation of (adjoint) Baker-Akhiezer functions, and construct its additional symmetries. As a byproduct, we derive the Virasoro symmetries for the constrained KP hierarchies.
引用
收藏
页数：23
相关论文
共 50 条
12345