3 papers
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…
nlin.SI2025
Nonlinearization of the KdV-type and mKdV-type bilinear equations
Xin Zhang, Jin Liu, Da-jun Zhang
In this paper, we show a general procedure to nonlinearize bilinear equations by using the Bell polynomials. As applications, we obtain nonlinear forms of some integrable bilinear…