On the Lagrangian Structure of Integrable Hierarchies

Yuri B. Suris () and Mats Vermeeren ()
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Yuri B. Suris: Technische Universität Berlin, Inst. für Mathematik
Mats Vermeeren: Technische Universität Berlin, Inst. für Mathematik

A chapter in Advances in Discrete Differential Geometry, 2016, pp 347-378 from Springer

Abstract: Abstract We develop the concept of pluri-Lagrangian structures for integrable hierarchies. This is a continuous counterpart of the pluri-Lagrangian (or Lagrangian multiform) theory of integrable lattice systems. We derive the multi-time Euler Lagrange equations in their full generality for hierarchies of two-dimensional systems, and construct a pluri-Lagrangian formulation of the potential Korteweg-de Vries hierarchy.

Keywords: Integrable Hierarchies; Lagrangian Structure; Integrable Lattice Systems; Euler-Lagrange Equations; Pluriharmonic Functions (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-50447-5_11

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DOI: 10.1007/978-3-662-50447-5_11

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