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arxiv: 0906.5282 · v1 · submitted 2009-06-29 · 🌊 nlin.SI

Lagrangian multiform structure for the lattice KP system

classification 🌊 nlin.SI
keywords lagrangiandimensionalhigherlatticemultiformstructurearxivbilinear
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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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