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arXiv · 0906.5282

Lagrangian multiform structure for the lattice KP system

S. B. Lobb·F. W. Nijhoff·G. R. W. Quispel
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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.

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S. B. Lobb, F. W. Nijhoff, G. R. W. Quispel. 2009-06-29. Lagrangian multiform structure for the lattice KP system. https://arxiv.org/abs/0906.5282

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