| Автор | W L Chan |
| Автор | Yu-kun Zheng |
| Дата выпуска | 1991-02-01 |
| dc.description | To the family of nonisospectral variable-coefficient higher-order Korteweg-de Vries equations a new family of nonisospectral variable-coefficient higher-order modified Korteweg-de Vries equations depending on a parametric function eta (t) is constructed. They are connected by an eta <sup>2</sup>-dependent Miura transformation. A Backlund transformation is also established. Furthermore, the gauge transformation previously proposed by the authors is applied to this Backlund transformation. For a fixed eta (t), this enables one to derive an autoBacklund transformation for the families of non-isospectral variable-coefficient higher-order eta <sup>2</sup>-dependent modified Korteweg-de Vries equations and non-isospectral variable-coefficient higher-order Korteweg-de Vries equations, respectively. As an illustration, three generations of explicit solutions of the non-isospectral second-order variable-coefficient Korteweg-de Vries equation are presented. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Non-isospectral variable-coefficient higher-order Korteweg-de Vries equations |
| Тип | paper |
| DOI | 10.1088/0266-5611/7/1/007 |
| Electronic ISSN | 1361-6420 |
| Print ISSN | 0266-5611 |
| Журнал | Inverse Problems |
| Том | 7 |
| Первая страница | 63 |
| Последняя страница | 75 |
| Аффилиация | W L Chan; Dept. of Math., Chinese Univ. of Hong Kong, Shatin, Hong Kong |
| Аффилиация | Yu-kun Zheng; Dept. of Math., Chinese Univ. of Hong Kong, Shatin, Hong Kong |
| Выпуск | 1 |
