On Recursion Operator of the q-KP Hierarchy

被引：0

作者：

Tian, Ke-Lei ^{[1
]}

Zhu, Xiao-Ming ^{[1
]}

He, Jing-Song ^{[2
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China

[2] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2016年 / 66卷 / 03期

关键词：

q-KP hierarchy; flow equations; recursion operator; SATO THEORY; DEFORMATION;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is the aim of the present article to give a general expression of flow equations of the q-KP hierarchy. The distinct difference between the q-KP hierarchy and the KP hierarchy is due to q-binomial and the action of q-shift operator theta, which originates from the Leibnitz rule of the quantum calculus. We further show that the n-reduction leads to a recursive scheme for these flow equations. The recursion operator for the flow equations of the q-KP hierarchy under the n-reduction is also derived.

引用

页码：263 / 268

页数：6

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