A Variational Principle for Discrete Integrable Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Lobb, S.B., Nijhoff, F.W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209531
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Variational Principle for Discrete Integrable Systems / S.B. Lobb, F.W. Nijhoff // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 27 назв. — англ.

For integrable systems in the sense of multidimensional consistency (MDC), we can consider the Lagrangian as a form that is closed on solutions of the equations of motion. For 2-dimensional systems, described by partial difference equations with two independent variables, MDC allows us to define an...