Geodesic
The~generalized Kupershmidt deformation for constructing new discrete integrable systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 178-192

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It is known that the KdV6 equation can be represented as the Kupershmidt deformation of the KdV equation. We propose a generalized Kupershmidt deformation for constructing new discrete integrable systems starting from the bi-Hamiltonian structure of a discrete integrable system. We consider the Toda, Kac–van Moerbeke, and Ablowitz–Ladik hierarchies and obtain Lax representations for these new deformed systems. The generalized Kupershmidt deformation provides a new way to construct discrete integrable systems.
Keywords: Kupershmidt deformation, bi-Hamiltonian system, discrete integrable system. 
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     author = {Yehui Huang and Runliang Lin and Yuqin Yao and Yunbo Zeng},
     title = {The~generalized {Kupershmidt} deformation for constructing new discrete integrable systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {178--192},
     publisher = {mathdoc},
     volume = {175},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a3/}
}
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Yehui Huang; Runliang Lin; Yuqin Yao; Yunbo Zeng. The~generalized Kupershmidt deformation for constructing new discrete integrable systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 178-192. http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a3/