S B Lobb et al 2009 J. Phys. A: Math. Theor. 42 472002 doi:10.1088/1751-8113/42/47/472002
Lagrangian multiform structure for the lattice KP system
FREE ARTICLES B Lobb1, F W Nijhoff1 and G R W Quispel2
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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 Lobb and Nijhoff (2009 J. Phys. A: Math. Theor. 42 454013) in a higher dimensional case.
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Issue 47 (27 November 2009)
Received 29 June 2009
Published 4 November 2009
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Lagrangian multiform structure for the lattice KP system
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