GAUGE TRANSFORMATIONS BETWEEN REDUCED q- KP AND REDUCED q- MKP HIERARCHIES

被引：0

作者：

Huang, Shilong ^{[1
]}

Li, Chuanzhong ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong, Peoples R China

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2025年 / 222卷 / 01期

基金：

中国国家自然科学基金;

关键词：

q-deformation; q-KP hierarchy; q-mKP hierarchy; gauge transformation; Q-DEFORMATION; VIRASORO; ALGEBRA;

D O I：

10.1134/S0040577925010106

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We reduce the q- KP hierarchy and the q- mKP hierarchy. By using the link between the q- KP hierarchy and the q- mKP hierarchy, we obtain a relation between the q- KdV and the q- mKdV hierarchies, as well as a relation between the q- Boussinesq and q- mBoussinesq equations. The connection between them can also be established by a gauge transformation. We verify that when in the limit q -> 1 , these relations correspond to the results for classical systems.

引用

页码：131 / 139

页数：9

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