Lagrangian multiform structure for the lattice KP system

2009/06/29 by Sarah Lobb, Frank Nijhoff, Lobb, S. B. +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0906.5282

openalex publication_date 2009/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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