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
Show affiliationsFAST TRACK COMMUNICATION
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.
- PACS
- MSC
- Subjects
- Dates
-
Issue 47 (27 November 2009)
Received 29 June 2009
Published 4 November 2009
-
Lagrangian multiform structure for the lattice KP system
S B Lobb et al 2009 J. Phys. A: Math. Theor. 42 472002
-
Self-consistent simulations of the interaction between fusion-born alpha particles and lower hybrid waves in ITER
M. Schneider et al 2009 Nucl. Fusion 49 125005
-
Non-aligned hydrogen molecular ion in strong magnetic fields
D Baye et al 2009 J. Phys. B: At. Mol. Opt. Phys. 42 225102
-
Triaxiality in the SD-pair shell model
L Li et al 2009 J. Phys. G: Nucl. Part. Phys. 36 125107
-
N – K edge NEXAFS study of the defects induced by indium implantation in GaN
M Katsikini et al 2009 J. Phys.: Conf. Ser. 190 012065
-
An interlacing theorem for reversible Markov chains
Robert Grone et al 2008 J. Phys. A: Math. Theor. 41 212002
-
Thermal gradient induced actuation in double-walled carbon nanotubes
Quan-Wen Hou et al 2009 Nanotechnology 20 495503
-
Resonant x-ray scattering in 3d-transition-metal oxides: Anisotropy and charge orderings
G Subías et al 2009 J. Phys.: Conf. Ser. 190 012085
-
Temperature dependence of EXAFS cumulants of Ag nanoparticles in glass
M Dubiel et al 2009 J. Phys.: Conf. Ser. 190 012123
-
Metal-Insulator Transition in CuIr2(S1−xTex)4
Yue Song et al 2009 Chinese Phys. Lett. 26 117103
Users also read
What's this?- The semiclassical origin of curvature effects in universal spectral statistics
- Short-distance expansion for the electromagnetic half-space Green's tensor: general results and an application to radiative lifetime computations
- New classes of nonlinear vector coherent states of generalized spin–orbit Hamiltonians
supergravity chiral projection operatorRelated review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
-
Notes on Yang–Mills–Higgs monopoles and dyons on
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities
- T-systems and Y-systems in integrable systems*