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 Lobb and Nijhoff (2009 J. Phys. A: Math. Theor. 42 454013) in a higher dimensional case.
No takes yet. Share an insight, caveat, or question.
Lobb et al. (2009) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: