Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
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...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2012-05-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://local motion of curves; integrable evolution equations; Kaup-Kupershmidt hierarchy; geometric variational problems; projective differential geometry |