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On the Lagrangian structure of integrable hierarchies

Springer Berlin Heidelberg, (2016), 347-378
DOI: 10.1007/978-3-662-50447-5_11
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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.

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APA

Suris, Y. B., & Vermeeren, M. (2016). On the Lagrangian structure of integrable hierarchies. In Advances in Discrete Differential Geometry (pp. 347–378). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-50447-5_11

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