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
收藏
页码：131 / 139
页数：9
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