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

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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dc.contributor.author	Musso, E.
dc.date.accessioned	2019-02-18T13:26:26Z
dc.date.available	2019-02-18T13:26:26Z
dc.date.issued	2012
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 53A20; 53A55; 33E05; 35Q53; 37K10
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.030
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148468
dc.description.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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html. The work was partially supported by MIUR project: Metriche riemanniane e variet`a differenziabili; by the GNSAGA of INDAM and by TTPU University in Tashkent. The author would like to thank the referees and G. Mar´ı Bef fa for their useful comments and suggestions.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA