Lagrangian multiform structure for the lattice KP system
Exactly Solvable and Integrable Systems
2009-06-30 v1
Abstract
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.
Cite
@article{arxiv.0906.5282,
title = {Lagrangian multiform structure for the lattice KP system},
author = {S. B. Lobb and F. W. Nijhoff and G. R. W. Quispel},
journal= {arXiv preprint arXiv:0906.5282},
year = {2009}
}
Comments
12 pages, submitted to J. Phys. A: Math. Theor