On the Variational Interpretation of the Discrete KP Equation

DOI10.1007/978-3-662-50447-5_12zbMath1351.37239arXiv1506.00729OpenAlexW1493386851MaRDI QIDQ2832781

Raphael Boll, Matteo Petrera, Yuri Borisovich Suris

Publication date: 14 November 2016

Published in: Advances in Discrete Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00729

zbMATH Keywords

Euler-Lagrange equationscubic lattice \(\mathbb Z^{N}\)discrete Kadomtsev-Petviashvili (dKP) equationpluri-Lagrangian formulationroot lattice \(Q(A_{N})\)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Variational principles in infinite-dimensional spaces (58E30) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14)

Related Items

Lagrangian 3-form structure for the Darboux system and the KP hierarchy, A variational principle for discrete integrable systems, Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs

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