Recursion operators for KP, mKP and Harry-Dym Hierarchies
Exactly Solvable and Integrable Systems
2015-05-20 v1 Mathematical Physics
math.MP
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 -reduction. This shows a new inherent relationship between them. To illustrate our construction, the recursion operator are calculated explicitly for -reduction and -reduction.
Keywords
Cite
@article{arxiv.1010.0780,
title = {Recursion operators for KP, mKP and Harry-Dym Hierarchies},
author = {Jipeng Cheng and Lihong Wang and Jingsong He},
journal= {arXiv preprint arXiv:1010.0780},
year = {2015}
}
Comments
18 pages, accepted by Journal of Nonlinear Mathematical Physics(2010)