Archivio Istituzionale della RicercaThe 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 by the traveling wave cnoidal solutions of the fifth-order Kaup-Kupershmidt equation are described.
Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy / Musso, Emilio. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - ELETTRONICO. - 8:(2012), pp. 1-20. [10.3842/SIGMA.2012.030]
Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
MUSSO, EMILIO
2012
Abstract
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 by the traveling wave cnoidal solutions of the fifth-order Kaup-Kupershmidt equation are described.
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https://hdl.handle.net/11583/2498028
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