17 citations · 22 across the 5 of their papers we have counts for
5 papers
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…
New Revival Phenomena for Bidirectional Dispersive Hyperbolic Equations
George Farmakis, Jing Kang, Peter J. Olver +2
In this paper, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and disconti…
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…