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arXiv · 1304.3170

The generalized Kupershmidt deformation for constructing new discrete integrable systems

Yehui Huang·Runliang Lin·Yuqin Yao·Yunbo Zeng
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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.

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Yehui Huang, Runliang Lin, Yuqin Yao, Yunbo Zeng. 2013-04-11. The generalized Kupershmidt deformation for constructing new discrete integrable systems. https://doi.org/10.1007/s11232-013-0049-6

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