2 citations · 2 across the 3 of their papers we have counts for
3 papers
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.SI2009
Lagrangian multiform structure for the lattice KP system
S. B. Lobb, F. W. Nijhoff, G. R. W. Quispel
We present a Lagrangian for the bilinear discrete KP (or Hirota-Miwa) equation. Furthermore, we show that this Lagrangian can be extended to a Lagrangian 3-form when embedded in a…
nlin.SI2006
Seed and soliton solutions for Adler's lattice equation
James Atkinson, Jarmo Hietarinta, Frank Nijhoff
Adler's lattice equation has acquired the status of a master equation among 2D discrete integrable systems. In this paper we derive what we believe are the first explicit solutions…