The q-deformed mKP hierarchy with two parameters

被引：3
作者：
Tian, Kelei [1 ]
Ge, Yanyan [2 ]
Zhu, Xiaoming [2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 16期
基金：
中国国家自然科学基金;
关键词：
Sato theory; qp-mKP hierarchy; additional symmetry; ADDITIONAL SYMMETRIES; BACKLUND-TRANSFORMATIONS; KP HIERARCHIES; STRING EQUATION; REPRESENTATION;
D O I：
10.1142/S0217984918501701
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, with the help of the biparametric quantum calculus we construct the Sato theory on the q-deformation modified Kadomtsev-Petviashvili hierarchy with two parameters (qp-mKP), which is a new deformation of classical mKP hierarchy. The Lax equation and dressing operator of qp-mKP hierarchy are derived. By considering the M operator and Gamma operator, the additional symmetry of qp-mKP hierarchy is obtained.
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页数：11
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