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Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave
inverse scattering non-overdetermined data fixed direction of the incident wave scattering data
2010/12/31
Let q(x) be real-valued compactly supported sufficiently smooth func-tion. It is proved that the scattering data A( , 0, k) 8 2 S2, 8k > 0, determine q uniquely. Here 0 2 S2 is a fixed direction of...
Two-component {CH} system: Inverse Scattering, Peakons and Geometry
Two-component {CH} system Inverse Scattering Peakons and Geometry
2010/9/1
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equa-tion. As an illustration of the ...