Lagrangian multiform structure for the lattice KP system

Details Lagrangian multiform structure for the lattice KP system Lagrangian multiform structure for the lattice KP system

2009-06-29

arxiv.org/abs/0906.5282v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, submitted to J. Phys. A: Math. Theor

Scientific paper

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 higher dimensional lattice, obeying a
closure relation. Thus we establish the multiform structure as proposed in
arXiv:0903.4086v1 [nlin.SI] in a higher dimensional case.

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