22 citations · 43 across the 10 of their papers we have counts for
10 papers
The integrable semi-discrete nonlinear Schrödinger equations with nonzero backgrounds: Bilinearization-reduction approach
Xiao Deng, Kui Chen, Hongyang Chen +1
In this paper the classical and nonlocal semi-discrete nonlinear Schrödinger (sdNLS) equations with nonzero backgrounds are solved by means of the bilinearization-reduction approac…
Squared eigenfunction symmetry of the DmKP hierarchy and its constraint
Kui Chen, Cheng Zhang, Da-jun Zhang
In this paper squared eigenfunction symmetry of the differential-difference modified Kadomtsev-Petviashvili (DmKP) hierarchy and its constraint are considered. Under the constra…
Chaotic translations on weighted Orlicz spaces
Chung-Chuan Chen, Kui-Yo Chen, Serap Öztop +1
Let be a locally compact group, be a weight on and be a Young function. We give some characterizations for translation operators to be topologically transitive and…
Distributional chaos for weighted translation operators on groups
Kui-Yo Chen
In this paper, we study distributional chaos for weighted translations on locally compact groups. We give a sufficient condition for such operators to be distributionally chaotic a…
Covariant hodograph transformations between nonlocal short pulse models and AKNS system
Kui Chen, Shimin Liu, Da-jun Zhang
The paper presents hodograph transformation between nonlocal short pulse models and the first member in the AKNS negative hierarchy (AKNS()). We consider real and complex multi…
Solutions of local and nonlocal equations reduced from the AKNS hierarchy
Kui Chen, Xiao Deng, Senyue Lou +1
In the paper possible local and nonlocal reductions of the Ablowitz-Kaup-Newell-Suger (AKNS) hierarchy are collected, including the Korteweg-de Vries (KdV) hierarchy, modified KdV…
On periodicity and hypercyclic weighted translation operators
Kui-Yo Chen
We use the generization of Weyl's equidistribution theorem to characterize several necessary conditions of hypercyclic weighted translation operators with periodic element.
Solutions of the nonlocal nonlinear Schrödinger hierarchy via reduction
Kui Chen, Da-jun Zhang
In this letter we propose an approach to obtain solutions for the nonlocal nonlinear Schrödinger hierarchy from the known ones of the Ablowitz-Kaup-Newell-Segur hierarchy by reduct…
On aperiodicity and hypercyclic weighted translation operators
Kui-Yo Chen
We give several equivalent characterization of aperiodicity of an element on locally compact group , and give an intuition for "How strong does the aperiodicity of an element af…
On a Second Discretization of the ZS-AKNS Spectral Problem: Revisit
Kui Chen, Xiao Deng, Da-jun Zhang
In this paper we revisit a discrete spectral problem which was proposed by Ragnisco and Tu in 1989, as a second discretization of the ZS-AKNS spectral problem. We show that the spe…