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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Main Author:	Emilio Musso
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2012-05-01
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

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spelling	doaj-2ef811dc91cc4c3ebca5e6cd22af2fa42020-11-24T22:39:12ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-05-018030Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt HierarchyEmilio MussoThe 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.local motion of curves; integrable evolution equations; Kaup-Kupershmidt hierarchy; geometric variational problems; projective differential geometry
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Emilio Musso
spellingShingle	Emilio Musso Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy Symmetry, Integrability and Geometry: Methods and Applications
author_facet	Emilio Musso
author_sort	Emilio Musso
title	Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
title_short	Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
title_full	Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
title_fullStr	Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
title_full_unstemmed	Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
title_sort	motions of curves in the projective plane inducing the kaup-kupershmidt hierarchy
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2012-05-01
description	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.
url	http://local motion of curves; integrable evolution equations; Kaup-Kupershmidt hierarchy; geometric variational problems; projective differential geometry
work_keys_str_mv	AT emiliomusso motionsofcurvesintheprojectiveplaneinducingthekaupkupershmidthierarchy
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Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy

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