On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value i...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2006 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146097 |
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| Цитувати: | On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation / H. Aratyn, J.F. Gomes, A.H. Zimerman // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146097 |
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irk-123456789-1460972019-02-08T01:23:48Z On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation Aratyn, H. Gomes, J.F. Zimerman, A.H. Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value in the interval 0 < θ < π/2. This construction induces Bäcklund transformations between solutions of the two-component Camassa-Holm model associated with different classes of reduction. 2006 Article On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation / H. Aratyn, J.F. Gomes, A.H. Zimerman // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K10; 35Q53; 53A07; 53B50 http://dspace.nbuv.gov.ua/handle/123456789/146097 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 |
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value in the interval 0 < θ < π/2. This construction induces Bäcklund transformations between solutions of the two-component Camassa-Holm model associated with different classes of reduction. |
| format |
Article |
| author |
Aratyn, H. Gomes, J.F. Zimerman, A.H. |
| spellingShingle |
Aratyn, H. Gomes, J.F. Zimerman, A.H. On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Aratyn, H. Gomes, J.F. Zimerman, A.H. |
| author_sort |
Aratyn, H. |
| title |
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation |
| title_short |
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation |
| title_full |
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation |
| title_fullStr |
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation |
| title_full_unstemmed |
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation |
| title_sort |
on a negative flow of the akns hierarchy and its relation to a two-component camassa-holm equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146097 |
| citation_txt |
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation / H. Aratyn, J.F. Gomes, A.H. Zimerman // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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