| Автор | W K Schief |
| Дата выпуска | 1994-10-01 |
| dc.description | A systematic way of obtaining integrable reductions of a classical system investigated by Darboux (1887-96) in connection with conjugate coordinate systems is presented. It includes, in particular, the Lame system, its generalization to pseudo-Riemannian spaces of constant curvature, an integrable 2+1-dimensional sine-Gordon equation and a hyperbolic equation of Klein-Gordon type. The integrability of a classical generalized Weingarten system set down by Bianchi (1957) is proven by means of a suitable superposition of two constraints. It is shown that these reductions are preserved under a Darboux-Levi-type transformation. A connection to the Moutard transformation is recorded. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On a 2+1-dimensional Darboux system: integrable reductions |
| Тип | paper |
| DOI | 10.1088/0266-5611/10/5/014 |
| Electronic ISSN | 1361-6420 |
| Print ISSN | 0266-5611 |
| Журнал | Inverse Problems |
| Том | 10 |
| Первая страница | 1185 |
| Последняя страница | 1198 |
| Аффилиация | W K Schief; Sch. of Math., New South Wales Univ., Sydney, NSW, Australia |
| Выпуск | 5 |
