Two-component CH system: inverse scattering, peakons and geometry
Two-component CH system: inverse scattering, peakons and geometry
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DOI：
10.1088/0266-5611/27/4/045013
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发表时间：
2011-04-01
期刊：
影响因子：
2.1
通讯作者：
Ivanov, R. I.
中科院分区：
文献类型：
--
作者：
Holm, D. D.;Ivanov, R. I.
针对CH2（卡马萨-霍尔姆（CH）方程的二分量推广）制定了与黎曼-希尔伯特问题相对应的逆散射变换方法。作为该方法的说明，根据 CH2 的散射数据构造了与无反射势相对应的多孤子解。
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi-soliton solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data for CH2.