On the Lagrangian structure of integrable hierarchies
Mathematical Physics
2019-11-11 v1 math.MP
Symplectic Geometry
Exactly Solvable and Integrable Systems
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
Cite
@article{arxiv.1510.03724,
title = {On the Lagrangian structure of integrable hierarchies},
author = {Yuri B. Suris and Mats Vermeeren},
journal= {arXiv preprint arXiv:1510.03724},
year = {2019}
}
Comments
29 pages