Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Richardson, Jacob J., Vermeeren, Mats
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213518
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations. Jacob J. Richardson and Mats Vermeeren. SIGMA 21 (2025), 058, 30 pages

Discrete Lagrangian multiform theory is a variational perspective on lattice equations that are integrable in the sense of multidimensional consistency. The Lagrangian multiforms for the equations of the ABS classification formed the start of this theory, but the Lagrangian multiforms that are usual...