Two-Component Coupled KdV Equations and its Connection with the Generalized Harry Dym Equation
Two-Component Coupled KdV Equations and its Connection with the Generalized Harry Dym Equation
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DOI：
10.1063/1.4861930
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发表时间：
2012-10
期刊：
影响因子：
--
通讯作者：
Z. Popowicz
中科院分区：
文献类型：
--
作者：
Z. Popowicz
结果表明，Dym族中的三个不同的Lax算子产生了三个广义耦合Harry Dym方程。这些方程通过倒易链转化为耦合的两分量KdV系统。第一个方程给出了已知的两分量KdV可积系统，而第二个方程简化为已知的对称两分量KdV方程。最后一个简化为Drienfeld-Sokolov方程。这种方法为我们提供了这些方程的新的Lax表示。
It is shown that, three different Lax operators in the Dym hierarchy, produce three generalized coupled Harry Dym equations. These equations transform, via the reciprocal link, to the coupled two-component KdV system. The first equation gives us known integrable two-component KdV system while the second reduces to the known symmetrical two-component KdV equation. The last one reduces to the Drienfeld-Sokolov equation. This approach gives us new Lax representation for these equations.