| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8054005 | Applied Mathematics Letters | 2018 | 8 Pages |
Abstract
Some two-component Korteweg-de Vries systems are studied by prolongation technique and Painlevé analysis. Especially, the two-component KdV system conjectured to be integrable by Foursov is proved to be both Lax integrable and P-integrable. Its conservation laws are investigated based on the obtained Lax pair. Furthermore, it is shown that the three two-component Korteweg-de Vries systems are identical under certain invertible linear transformations. Finally, the auto-Bäcklund transformation and some exact solutions for the two-component Korteweg-de Vries system are derived explicitly.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Deng-Shan Wang, Jiang Liu,