%0 Journal Article
%T On the variational interpretation of the discrete KP equation
%A Raphael Boll
%A Matteo Petrera
%A Yuri B. Suris
%J Mathematics
%D 2015
%I arXiv
%X We study the variational structure of the discrete Kadomtsev-Petviashvili (dKP) equation by means of its pluri-Lagrangian formulation. We consider the dKP equation and its variational formulation on the cubic lattice ${\mathbb Z}^{N}$ as well as on the root lattice $Q(A_{N})$. We prove that, on a lattice of dimension at least four, the corresponding Euler-Lagrange equations are equivalent to the dKP equation.
%U http://arxiv.org/abs/1506.00729v1