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arXiv · 1009.5374

Two-component {CH} system: Inverse Scattering, Peakons and Geometry

D. D. Holm·R. I. Ivanov
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Abstract

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.

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D. D. Holm, R. I. Ivanov. 2010-09-27. Two-component {CH} system: Inverse Scattering, Peakons and Geometry. https://doi.org/10.1088/0266-5611%2F27%2F4%2F045013

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