On Transformations of the Rabelo Equations
We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations. Two of the Rabelo equations are found to be related to the sine-Gor...
Збережено в:
| Дата: | 2007 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147226 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Transformations of the Rabelo Equations / A. Sakovich, S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147226 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1472262019-02-14T01:23:29Z On Transformations of the Rabelo Equations Sakovich, A. Sakovich, S. We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations. Two of the Rabelo equations are found to be related to the sine-Gordon equation. The other two are transformed into a linear equation and the Liouville equation, and in this way their general solutions are obtained. 2007 Article On Transformations of the Rabelo Equations / A. Sakovich, S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 14 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35Q58; 35Q53; 35C05 http://dspace.nbuv.gov.ua/handle/123456789/147226 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 |
We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations. Two of the Rabelo equations are found to be related to the sine-Gordon equation. The other two are transformed into a linear equation and the Liouville equation, and in this way their general solutions are obtained. |
| format |
Article |
| author |
Sakovich, A. Sakovich, S. |
| spellingShingle |
Sakovich, A. Sakovich, S. On Transformations of the Rabelo Equations Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sakovich, A. Sakovich, S. |
| author_sort |
Sakovich, A. |
| title |
On Transformations of the Rabelo Equations |
| title_short |
On Transformations of the Rabelo Equations |
| title_full |
On Transformations of the Rabelo Equations |
| title_fullStr |
On Transformations of the Rabelo Equations |
| title_full_unstemmed |
On Transformations of the Rabelo Equations |
| title_sort |
on transformations of the rabelo equations |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147226 |
| citation_txt |
On Transformations of the Rabelo Equations / A. Sakovich, S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 14 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT sakovicha ontransformationsoftherabeloequations AT sakovichs ontransformationsoftherabeloequations |
| first_indexed |
2023-05-20T17:27:00Z |
| last_indexed |
2023-05-20T17:27:00Z |
| _version_ |
1796153320734195712 |