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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…