Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
Vernadsky National Library of Ukraine
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Title |
Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy
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Creator |
Musso, E.
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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.
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Date |
2019-02-18T13:26:26Z
2019-02-18T13:26:26Z 2012 |
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Type |
Article
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Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 53A20; 53A55; 33E05; 35Q53; 37K10 DOI: http://dx.doi.org/10.3842/SIGMA.2012.030 http://dspace.nbuv.gov.ua/handle/123456789/148468 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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