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...
Збережено в:
| Дата: | 2012 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148468 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1484682019-02-19T01:30:50Z Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy Musso, E. 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. 2012 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Musso, E. |
| spellingShingle |
Musso, E. Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Musso, E. |
| author_sort |
Musso, E. |
| 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 |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148468 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT mussoe motionsofcurvesintheprojectiveplaneinducingthekaupkupershmidthierarchy |
| first_indexed |
2023-05-20T17:30:45Z |
| last_indexed |
2023-05-20T17:30:45Z |
| _version_ |
1796153459321339904 |