Two-component {CH} system: Inverse Scattering, Peakons and Geometry
classification
🌊 nlin.SI
math-phmath.MP
keywords
scatteringcorrespondinginversemethodtwo-componentcamassa-holmconstructeddata
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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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