| Автор | Henning Blohm |
| Дата выпуска | 2000-11-01 |
| dc.description | A unifying approach to the solution of certain evolution equations is demonstrated by a method of explicit construction of solutions to such equations, which is good enough to provide solutions for given initial values, under certain restrictions. This is done by the explicit solution of inverse scattering problems associated with the Schrödinger operator and the Zakharov-Shabat system, respectively. Moreover, the relation to zero-curvature conditions and Lax pairs is investigated. It is shown that the zero-curvature formulation can be used to describe exactly the class of treated equations. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Solution of nonlinear equations by trace methods |
| Тип | paper |
| DOI | 10.1088/0951-7715/13/6/304 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 13 |
| Первая страница | 1925 |
| Последняя страница | 1964 |
| Аффилиация | Henning Blohm; Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität Jena, Ernst-Abbe-Platz 1-4, 07743 Jena, Germany |
| Выпуск | 6 |
