A two-component generalization of the Camassa-Holm equation and its solutions
A two-component generalization of the Camassa-Holm equation and its solutions
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DOI：
10.1007/s11005-005-0041-7
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发表时间：
2006-01-01
影响因子：
1.2
通讯作者：
Zhang, YJ
中科院分区：
文献类型：
--
作者：
Chen, M;Liu, SQ;Zhang, YJ
一个明确的相互转换之间的两个组件的推广Camassa-Holm方程，称为2-CH系统，和AKNS层次的第一个负流。这种变换使人们能够从AKNS层次结构的第一个负流的解中获得2-CH系统的解。有趣的例子峰和多扭结的2-CH系统的解决方案。
An explicit reciprocal transformation between a two-component generalization of the Camassa-Holm equation, called the 2-CH system, and the first negative flow of the AKNS hierarchy is established. This transformation enables one to obtain solutions of the 2-CH system from those of the first negative flow of the AKNS hierarchy. Interesting examples of peakon and multi-kink solutions of the 2-CH system are presented.