Symmetries and bilinear equations for the modified BKP hierarchy

被引：2

作者：

Guo, Weici ^{[1
]}

Guan, Wenchuang ^{[1
]}

Wang, Shen ^{[1
]}

Cheng, Jipeng ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2023年 / 66卷 / 07期

基金：

中国国家自然科学基金;

关键词：

mBKP hierarchy; tau functions; additional symmetries; squared eigenfunction symmetries; constrained mBKP hierarchy; bilinear equations; SQUARED EIGENFUNCTION SYMMETRIES; ADDITIONAL SYMMETRIES; KP HIERARCHY; SOLITON-EQUATIONS; TAU FUNCTIONS; TRANSFORMATIONS; REPRESENTATION; CKP;

D O I：

10.1007/s11425-022-2007-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The modified Kadomtsev-Petviashvili hierarchy of B type (mBKP hierarchy) and its constrained cases are investigated from the aspect of the Lax formulation. Starting from the Lax equation of the mBKP hierarchy, we firstly derive the bilinear equations and show the existence of the tau functions. Then the additional symmetries are constructed, and the corresponding generator is showed to be the squared eigenfunction symmetry. After that, the actions of the additional symmetries on the tau functions are given. At last, the Lax formulation of the constrained mBKP hierarchy is investigated and the corresponding bilinear equations are also discussed.

引用

页码：1529 / 1544

页数：16

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