On the Lagrangian structure of integrable hierarchies

Yuri B. Suris, Mats Vermeeren

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

16 Scopus citations

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.

Original languageEnglish
Title of host publicationAdvances in Discrete Differential Geometry
PublisherSpringer Berlin Heidelberg
Pages347-378
Number of pages32
ISBN (Electronic)9783662504475
ISBN (Print)9783662504468
DOIs
StatePublished - 1 Jan 2016
Externally publishedYes

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