42 citations · 74 across the 4 of their papers we have counts for
4 papers
Simple identification of fake Lax pairs
Samuel Butler, Mike Hay
Two simple ways to identify and explain fake Lax pairs are provided. The two methods are complementary, one involves finding a gauge transformation which can be used to remove the…
A Discrete Inverse Scattering Transform for Q3
Samuel Butler
We derive a fully discrete Inverse Scattering Transform as a method for solving the initial-value problem for the Q3 lattice (difference-difference) equation for real-valued so…
Multidimensional Inverse Scattering of Integrable Lattice Equations
Samuel Butler
We present a discrete inverse scattering transform for all ABS equations excluding Q4. The nonlinear partial difference equations presented in the ABS hierarchy represent a compreh…
An Inverse Scattering Transform for the Lattice Potential KdV Equation
Samuel Butler, Nalini Joshi
The lattice potential Korteweg-de Vries equation (LKdV) is a partial difference equation in two independent variables, which possesses many properties that are analogous to those o…