| Автор | Pierre C Sabatier |
| Дата выпуска | 1998-04-01 |
| dc.description | In contrast to known results on one-dimensional Darboux transformations, results on multidimensional Darboux transformations do not seem convenient for disentangling the sets of solutions in global inverse problems. In the present paper, first, we give a broad generalization of vectorial Darboux transformations and a more limited generalization of binary transformations. Second, the reduction of multidimensional transformations in special examples is described to show the limits of their use in inverse theory, to generate one-dimensional transformations, and to give a better understanding of how the latter ones work. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On multidimensional Darboux transformations |
| Тип | paper |
| DOI | 10.1088/0266-5611/14/2/010 |
| Electronic ISSN | 1361-6420 |
| Print ISSN | 0266-5611 |
| Журнал | Inverse Problems |
| Том | 14 |
| Первая страница | 355 |
| Последняя страница | 366 |
| Аффилиация | Pierre C Sabatier; Laboratoire de Physique Mathématique et Théorique, URA CNRS 768 Université Montpellier II - 34095 Montpellier Cedex 05, France |
| Выпуск | 2 |
