17 citations · 18 across the 7 of their papers we have counts for
7 papers
Pfaffian solution for dark-dark soliton to the coupled complex modified Korteweg-de Vries equation
Chenxi Li, Xiaochuan Liu, Bao-Feng Feng
In this paper, we study coupled complex modified Korteweg-de Vries (ccmKdV) equation by combining the Hirota's method and the Kadomtsev-Petviashvili (KP) reduction method. First, w…
Talbot Effect for the Manakov System on the Torus
Zihan Yin, Jing Kang, Xiaochuan Liu +1
In this paper, the Talbot effect for the multi-component linear and nonlinear systems of the dispersive evolution equations on a bounded interval subject to periodic boundary condi…
Orbital stability of two-component peakons
Cheng He, Xiaochuan Liu, Changzheng Qu
We prove that the two-component peakon solutions are orbitally stable in the energy space. The system concerned here is a two-component Novikov system, which is an integrable multi…
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…
Stability of peakons for the generalized modified Camassa-Holm equation
Zihua Guo, Xiaochuan Liu, Xingxing Liu +1
In this paper, we study orbital stability of peakons for the generalized modified Camassa-Holm (gmCH) equation, which is a natural higher-order generalization of the modified Camas…
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…