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nlin.SI2025
On the formulation of the NQC variable
Leilei Shi, Cheng Zhang, Da-jun Zhang
The Nijhoff-Quispel-Capel (NQC) equation is a general lattice quadrilateral equation presented in terms of a function where and serve as extra parameters. It can b…
nlin.SI2025
On the Dbar method and direct linearization approach of the lattice KdV type equations
Leilei Shi, Cheng Zhang, Da-jun Zhang
The purpose of this paper is to bridge the gap between the Dbar method and the direct linearization approach for the lattice Korteweg-de Vries (KdV) type equations. We develop the…
nlin.SI2025
The elliptic lattice KdV system revisited
Frank Nijhoff, Cheng Zhang, Da-jun Zhang
In a previous paper [Nijhoff,Puttock,2003], a 2-parameter extension of the lattice potential KdV equation was derived, associated with an elliptic curve. This comprises a rather co…