cauchy matrix method 1discrete integrable systems 1gerdjikov-ivanov equation 1higher-order equations 1soliton solutions 1
From the 1 of 3 linked papers with an AI index.
3 papers
nlin.SI2026
Discrete Gerdjikov-Ivanov models and their higher-order counterparts from the Cauchy matrix scheme
Xiao-gang Mu, Song-lin Zhao
The paper constructs fully discrete integrable versions of the Gerdjikov‑Ivanov equation and its higher‑order counterpart using the Cauchy matrix approach, and provides explicit so…
nlin.SI2026
Bilinear structures of the fourth-order lattice Gel'fand-Dikii equations
Song-lin Zhao, Han Wang, Da-jun Zhang
In this paper we derive bilinear forms and present their solutions in Casoratians for several fourth-order lattice Gel'fand-Dikii (lattice GD-4) equations. These equations were rec…
nlin.SI2026
Discretization of the Mikhailov model
Song-lin Zhao, Xiao-gang Mu, Da-jun Zhang
In this paper the Mikhailov model is discretized by means of the Cauchy matrix approach. A pair of discrete Miura transformations are constructed. The discrete Mikhailov model is a…