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On the Lagrangian structure of integrable hierarchies

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arxiv 1510.03724 v1 pith:JUGYJ6IF submitted 2015-10-13 math-ph math.MPmath.SGnlin.SI

Yuri B. Suris , Mats Vermeeren This is my paper · ORCID
classification math-phmath.MPmath.SGnlin.SI
keywords hierarchiesintegrablepluri-lagrangianlagrangiansystemsconceptconstructcontinuous
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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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  1. Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations

    nlin.SI 2025-01 conditional novelty 7.0 of 10

    Trident Lagrangian 2-forms with integer-valued branch-tracking fields have corner equations equivalent to the ABS quad equations and restore almost-closure.

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