3 papers
nlin.SI2026
Lattice KP type equations arising from eigenfunctions and Dbar problem
Leilei Shi, Peter van der Kamp, Cheng Zhang +1
In this paper, we construct the lattice Kadomtsev-Petviashvili (KP) type eigenfunction equations. A homogeneous nonlocal problem is considered, from which we are a…
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…