On Recursion Operator of the q-KP Hierarchy

被引：3

作者：

田可雷 ^{[1
]}

朱晓鸣 ^{[1
]}

贺劲松 ^{[2
]}

机构：

[1] School of Mathematics, Hefei University of Technology

[2] Department of Mathematics, Ningbo University

来源：

Communications in Theoretical Physics | 2016年 / 66卷 / 09期

基金：

中国国家自然科学基金;

关键词：

q-KP hierarchy; flow equations; recursion operator;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

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 θ, 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