4 papers
On consistency around a cube and Q3 analogue of the lattice Boussinesq equation
Pengyu Sun, Cheng Zhang, Frank Nijhoff
In this paper, we present two new aspects of lattice Boussinesq (BSQ) equations. First, we show that the lattice potential BSQ (lpBSQ) equation defined on a nine-point square latti…
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…
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…
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…