Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations

被引：2

作者：

Song, Jia-Qi ^{[1
]}

Li, Chong ^{[2
]}

Cheng, Ji-Peng ^{[3
]}

Chen, Min-Ru ^{[1
]}

机构：

[1] Henan Univ, Sch Math & Stat, Kaifeng, Peoples R China

[2] Ningbo Univ, Sch Math & Stat, Ningbo, Peoples R China

[3] China Univ Min & Technol, Sch Math, Xuzhou, Peoples R China

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2023年 / 214卷 / 03期

基金：

中国国家自然科学基金;

关键词：

discrete KP hierarchy; constrained discrete KP hierarchy; gauge transformation; tau function; SYMMETRIES;

D O I：

10.1134/S0040577923030030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate two topics of the constrained discrete KP hierarchy: the constraint on the tau functions and gauge transformations. For the constrained dKP hierarchy, the constraint on the Lax operator (L-k) <0 = q?(-1)r is shown to be equivalent to a constraint on the tau function, which provides another description of the constrained dKP hierarchy. We also find that there are two different choices of the generating functions in gauge transformation operators of the constrained discrete KP hierarchy.

引用

页码：334 / 353

页数：20

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