10 citations · 17 across the 5 of their papers we have counts for
5 papers
Convergence of the dispersion Camassa-Holm N-Soliton
Fengfeng Dong, Lingjun Zhou
In this paper, we show that the peakon (peaked soliton) solutions can be recovered from the smooth soliton solutions, in the sense that there exists a sequence of smooth N-soliton…
Synchronization of linearly coupled reaction-diffusion neural networks with hybrid coupling and time-varying delays via aperiodically intermittent pinning control
Xiwei Liu, Zhang Chen, Lingjun Zhou
In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning…
Shock creation and Painlevé property of colliding peakons in the Degasperis-Procesi Equation
Jacek Szmigielski, Lingjun Zhou
The Degasperis-Procesi equation (DP) is one of several equations known to model important nonlinear effects such as wave breaking and shock creation. It is, however, a special prop…
Peakon-antipeakon interactions in the Degasperis-Procesi Equation
Jacek Szmigielski, Lingjun Zhou
Peakons are singular, soliton-like solutions to nonlinear wave equations whose dynamics can be studied using ordinary differential equations (ODEs). The Degasperis-Procesi equation…
Darboux Transformation for the Non-isospectral AKNS Hierarchy and Its Asymptotic Property
Lingjun Zhou
In this article, the Darboux transformation for the non-isospectral AKNS hierarchy is constructed. We show that the Darboux transformation for the non-isospectral AKNS hierarchy is…