Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Author: Musso, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148468
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarch / E. Musso // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ.

The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed. The integration of the congruence curves is discussed. Local motions defined b...