On Transformations of the Rabelo Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Transformations of the Rabelo Equations
|
|
| Creator |
Sakovich, A.
Sakovich, S. |
|
| 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.
|
|
| Date |
2019-02-13T19:30:06Z
2019-02-13T19:30:06Z 2007 |
|
| Type |
Article
|
|
| Identifier |
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 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|