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On the variational interpretation of the discrete KP equation

Boll, Raphael; Petrera, Matteo; Suris, Yuri B.

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 ZNas well as on the root latticeQ(AN). We prove that, on a lattice of dimension at least four, the corresponding Euler-Lagrange equations are equivalent to the dKP equation.
Published in: Advances in discrete differential geometry, 10.1007/978-3-662-50447-5_12, Springer