On Recursion Operator of the q-KP Hierarchy |
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Authors: | Ke-Lei Tian Xiao-Ming Zhu Jing-Song He |
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Institution: | 1. School of Mathematics, Hefei University of Technology, Hefei 230009, China;
2. Department of Mathematics, Ningbo University, Ningbo 315211, China |
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Abstract: | 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. |
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Keywords: | q-KP hierarchy flow equations recursion operator |
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