36 citations · 39 across the 3 of their papers we have counts for
3 papers
nlin.SI2010★ 1 cited
The Schwarzian variable associated with discrete KdV-type equations
James Atkinson, Nalini Joshi
We present a new construction related to systems of polynomials which are consistent on a cube. The consistent polynomials underlie the integrability of discrete counterparts of in…
nlin.SI2009★ 2 cited
Elliptic Solutions of ABS Lattice Equations
Frank W Nijhoff, James Atkinson
Elliptic N-soliton-type solutions, i.e. solutions emerging from the application of N consecutive Bäcklund transformations to an elliptic seed solution, are constructed for all equa…
nlin.SI2008★ 36 cited
Backlund transformations for integrable lattice equations
James Atkinson
We give new Backlund transformations (BTs) for some known integrable (in the sense of being multidimensionally consistent) quadrilateral lattice equations. As opposed to the natura…