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On the variational interpretation of the discrete KP equation

Springer Berlin Heidelberg, (2016), 379-405
DOI: 10.1007/978-3-662-50447-5_12
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Abstract

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 ZN as well as on the root lattice Q(AN).We prove that, on a lattice of dimension at least four, the corresponding Euler-Lagrange equations are equivalent to the dKP equation.

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APA

Boll, R., Petrera, M., & Suris, Y. B. (2016). On the variational interpretation of the discrete KP equation. In Advances in Discrete Differential Geometry (pp. 379–405). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-50447-5_12

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