A Variational Perspective on Continuum Limits of ABS and Lattice GD Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Vermeeren, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210178
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Variational Perspective on Continuum Limits of ABS and Lattice GD Equations / M. Vermeeren // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 31 назв. — англ.

A pluri-Lagrangian structure is an attribute of integrability for lattice equations and for hierarchies of differential equations. It combines the notion of multi-dimensional consistency (in the discrete case) or commutativity of the flows (in the continuous case) with a variational principle. Recen...