Integrability aspects of some two-component KdV systems
Integrability aspects of some two-component KdV systems
复制标题
一些双组件 KdV 系统的可集成性
DOI：
10.1016/j.aml.2017.12.018
复制
发表时间：
2018
影响因子：
3.7
通讯作者：
Liu Jiang
中科院分区：
文献类型：
--
作者：
Wang Deng Shan;Liu Jiang
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.
