Symmetries of the Continuous and Discrete Krichever-Novikov Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Levi, D., Winternitz, P., Yamilov, R.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147657
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Symmetries of the Continuous and Discrete Krichever-Novikov Equation / D. Levi, P. Winternitz, R.I. Yamilov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 31 назв. — англ.

A symmetry classification is performed for a class of differential-difference equations depending on 9 parameters. A 6-parameter subclass of these equations is an integrable discretization of the Krichever-Novikov equation. The dimension n of the Lie point symmetry algebra satisfies 1≤n≤5. The highe...