5 citations · 12 across the 14 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
nlin.SI2018
Dressing the boundary: on soliton solutions of the nonlinear Schrödinger equation on the half-line
Cheng Zhang
Based on the theory of integrable boundary conditions (BCs) developed by Sklyanin, we provide a direct method for computing soliton solutions of the focusing nonlinear Schrödinger…
nlin.SI2018
Dressing the Dressing Chain
Charalampos A. Evripidou, Peter H. van der Kamp, Cheng Zhang
The dressing chain is derived by applying Darboux transformations to the spectral problem of the Korteweg-de Vries (KdV) equation. It is also an auto-Bäcklund transformation for th…
nlin.SI2018
Discrete Crum's Theorems and Integrable Lattice Equations
Cheng Zhang, Linyu Peng, Da-jun Zhang
In this paper, we develop discrete versions of Darboux transformations and Crum's theorems for two second order difference equations. The difference equations are discretised versi…