Geodesic
Necessary and sufficient conditions in inverse scattering problem on the axis for the triangular $2\times 2$ matrix potential
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (2009) no. 3, pp. 296-309 
E. I. Zubkova; F. S. Rofe-Beketov. Necessary and sufficient conditions in inverse scattering problem on the axis for the triangular $2\times 2$ matrix potential. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (2009) no. 3, pp. 296-309. http://geodesic.mathdoc.fr/item/JMAG_2009_5_3_a3/
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The characteristic properties of the scattering data for the Schrödinger operator on the axis with a triangular $2\times 2$ matrix potential are obtained. A difference between the necessary and sufficient conditions for solvability of ISP under consideration, contained in the previous works of the authors, is eliminated.

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