17 citations · 22 across the 5 of their papers we have counts for
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nlin.SI2018
Liouville correspondences between multi-component integrable hierarchies
Jing Kang, Xiaochuan Liu, Peter J. Olver +1
In this paper, we establish Liouville correspondences for the integrable two-component Camassa-Holm hierarchy, the two-component Novikov (Geng-Xue) hierarchy, and the two-component…
nlin.SI2017★ 17 cited
Liouville Correspondences between Integrable Hierarchies
Jing Kang, Xiaochuan Liu, Peter J. Olver +1
In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies.…
nlin.SI2016
Liouville correspondence between the Short-Pulse Hierarchy and the Sine-Gordon Hierarchy
Jing Kang, Xiaochuan Liu
This paper considers the whole hierarchy of bi-Hamiltonian integrable equations associated to each of the Short-Pulse (SP) equation and the Sine-Gordon (SG) equation. We prove that…