The short-wave model for the Camassa–Holm equation: a Riemann–Hilbert approach
The short-wave model for the Camassa–Holm equation: a Riemann–Hilbert approach
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DOI：
10.1088/0266-5611/27/10/105006
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发表时间：
2011-10
期刊：
影响因子：
2.1
通讯作者：
A. B. D. Monvel;D. Shepelsky;L. Zielinski
中科院分区：
文献类型：
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作者：
A. B. D. Monvel;D. Shepelsky;L. Zielinski
我们以相关黎曼-希尔伯特问题的形式提出了卡马萨-霍尔姆方程短波模型线上柯西问题的逆散射变换方法。这种方法使我们能够给出经典（光滑）解的表示，将其渐近描述为 t → ∞ 并描述尖点 - 具有尖点的非光滑孤子解。
We present the inverse scattering transform approach to the Cauchy problem on the line for the short-wave model for the Camassa–Holm equation in the form of an associated Riemann–Hilbert problem. This approach allows us to give a representation of the classical (smooth) solutions, describe their asymptotics as t → ∞ and describe cuspons—non-smooth soliton solutions with a cusp.