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

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2019
• ISSN: 1815-0659
• Автор: Vermeeren, M.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2019
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210178
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...