The generalized Kupershmidt deformation for constructing new discrete integrable systems
Exactly Solvable and Integrable Systems
2015-06-15 v1
Abstract
KdV6 equation can be described as the Kupershmidt deformation of the KdV equation (see 2008, Phys. Lett. A 372: 263). In this paper, starting from the bi-Hamiltonian structure of the discrete integrable system, we propose a generalized Kupershmidt deformation to construct new discrete integrable systems. Toda hierarchy, Kac-van Moerbeke hierarchy and Ablowitz-Ladik hierarchy are considered. The Lax representations for these new deformed systems are presented. The generalized Kupershmidt deformation for the discrete integrable systems provides a new way to construct new discrete integrable systems.
Cite
@article{arxiv.1304.3170,
title = {The generalized Kupershmidt deformation for constructing new discrete integrable systems},
author = {Yehui Huang and Runliang Lin and Yuqin Yao and Yunbo Zeng},
journal= {arXiv preprint arXiv:1304.3170},
year = {2015}
}
Comments
16 pages. Accepted by Theoretical and Mathematical Physics