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

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

2010-09-27

arxiv.org/abs/1009.5374v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages, 3 figures, draft, please send comments

Scientific paper

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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