Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation

• Datum: 2014
• 1. Verfasser: Ormerod, C.M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2014
• Schriftenreihe: Symmetry, Integrability and Geometry: Methods and Applications
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146850
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation / C.M. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 55 назв. — англ.

We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the reduced equations and their relations to the symmetries of the discrete Painlev...