{
  "id": "1510.03724",
  "version": "v1",
  "published": "2015-10-13T15:04:10.000Z",
  "updated": "2015-10-13T15:04:10.000Z",
  "title": "On the Lagrangian structure of integrable hierarchies",
  "authors": [
    "Yuri B. Suris",
    "Mats Vermeeren"
  ],
  "comment": "29 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SG",
    "nlin.SI"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-13T15:04:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrable hierarchies",
      "multi-time euler lagrange equations",
      "potential korteweg-de vries hierarchy",
      "lagrangian multiform",
      "integrable lattice systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151003724S"
    }
  }
}