| Автор | Wazwaz, Abdul-Majid |
| Дата выпуска | 2010-10-01 |
| dc.description | In this work, the Korteweg–de Vries (KdV) equation with higher-order corrections is examined. We studied the KdV equation with first-order correction and that with second-order correction that include the terms of the fifth-order Lax, Sawada–Kotera and Caudrey–Dodd–Gibbon equations. The simplified form of the bilinear method was used to show the integrability of the first-order models and therefore to obtain multiple soliton solutions for each one. The obstacles to integrability of some of the models with second-order corrections are examined as well. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2010 The Royal Swedish Academy of Sciences |
| Название | Soliton solutions of the KdV equation with higher-order corrections |
| Тип | paper |
| DOI | 10.1088/0031-8949/82/04/045005 |
| Electronic ISSN | 1402-4896 |
| Print ISSN | 0031-8949 |
| Журнал | Physica Scripta |
| Том | 82 |
| Первая страница | 45005 |
| Последняя страница | 45010 |
| Аффилиация | Wazwaz, Abdul-Majid; Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA |
| Выпуск | 4 |
