A multidimensionally consistent version of Hirota's discrete KdV equation
Atkinson J
arXiv
Singular-boundary reductions of type-Q ABS equations
Atkinson J and Joshi N
arXiv
Singularities of type-Q ABS equations
Atkinson J
SIGMA 7, 073, 14pp
The Schwarzian variable associated with discrete KdV-type equations
Atkinson J and Joshi N
arXiv
Elliptic N-soliton solutions of ABS lattice equations
Nijhoff F W and Atkinson J
Int. Math. Res. Not. 2010 (20) 3837-3895
A constructive approach to the soliton solutions of integrable quadrilateral lattice equations
Atkinson J and Nijhoff F W
Commun. Math. Phys. 299(2) 283-304
Linear quadrilateral lattice equations and multidimensional consistency
Atkinson J
J. Phys. A: Math. Theor. 42 454005 7pp
Soliton solutions for ABS lattice equations I: Cauchy matrix approach
Nijhoff F W, Atkinson J and Hietarinta J
J. Phys. A: Math. Theor. 42 404005 34pp
Soliton solutions for Q3
Atkinson J, Hietarinta J and Nijhoff F W
J. Phys. A: Math. Theor. 41 142001 11pp
Backlund transformations for integrable lattice equations
Atkinson J
J. Phys. A: Math. Theor. 41 135202 8pp
Solutions of Adler's lattice equation associated with 2-cycles of the Backlund transformation
Atkinson J and Nijhoff F W
J. Nonl. Math. Phys. 15 (Supplement 3, NEEDS-2007) 34-42
Seed and soliton solutions for Adler's lattice equation
Atkinson J, Hietarinta J and Nijhoff F W
J. Phys. A: Math. Theor. 40 F1-8