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arXiv · 1205.5329

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

Emilio Musso
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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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Emilio Musso. 2012-05-24. Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy. https://doi.org/10.3842/sigma.2012.030

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