Families of Integrable Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Kassotakis, P., Nieszporski, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147991
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Families of Integrable Equations / P. Kassotakis, M. Nieszporski // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 33 назв. — англ.

We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some inte...