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Volume 18, Issue 1, March 2011, Pages 161 - 178
Recursion Operators for KP, mKP and Harry Dym Hierarchies
Authors
Jipeng Cheng
Department of Mathematics, USTC, Hefei, 230026 Anhui, P. R. China,hejingsong@nbu.edu.cn
Lihong Wang, Jingsong He*
Department of Mathematics, NBU, Ningbo, 315211 Zhejiang, P. R. China,hejingsong@nbu.edu.cn,jshe@ustc.edu.cn
*Corresponding author.
Corresponding Author
Jingsong He
Received 15 April 2010, Accepted 29 September 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001234How to use a DOI?
- Keywords
- KP; mKP; Harry Dym hierarchies; recursion operator
- Abstract
In this paper, we give a unified construction of the recursion operators from the Lax representation for three integrable hierarchies: Kadomtsev–Petviashvili (KP), modified Kadomtsev–Petviashvili (mKP) and Harry Dym under n-reduction. This shows a new inherent relationship between them. To illustrate our construction, the recursion operator are calculated explicitly for 2-reduction and 3-reduction.
- Copyright
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Jipeng Cheng AU - Lihong Wang AU - Jingsong He PY - 2021 DA - 2021/01/07 TI - Recursion Operators for KP, mKP and Harry Dym Hierarchies JO - Journal of Nonlinear Mathematical Physics SP - 161 EP - 178 VL - 18 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001234 DO - 10.1142/S1402925111001234 ID - Cheng2021 ER -