71 citations · 264 across the 19 of their papers we have counts for
8 papers · 1 filter
Geometric aspects of Miura transformations
Changzheng Qu, Zhiwei Wu
The Miura transformation plays a crucial role in the study of integrable systems. There have been various extensions of the Miura transformation, which have been used to relate dif…
Solutions to the SU() self-dual Yang-Mills equation
Shangshuai Li, Changzheng Qu, Da-jun Zhang
In this paper we aim to derive solutions for the SU() self-dual Yang-Mills (SDYM) equation with arbitrary . A set of noncommutative relations are introduc…
Cauchy matrix approach to the SU(2) self-dual Yang--Mills equation
Shangshuai Li, Changzheng Qu, Xiangxuan Yi +1
The Cauchy matrix approach is developed to solve the SU(2) self-dual Yang--Mills equation. Starting from a Sylvester matrix equation coupled with certain dispersion relation for in…
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…
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.…
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…